diff --git a/api/services/tasks/v1/tasks.pb.go b/api/services/tasks/v1/tasks.pb.go
index 83dd233ea..dbd30db34 100644
--- a/api/services/tasks/v1/tasks.pb.go
+++ b/api/services/tasks/v1/tasks.pb.go
@@ -30,6 +30,7 @@
 		ListProcessesResponse
 		CheckpointTaskRequest
 		CheckpointTaskResponse
+		UpdateTaskRequest
 */
 package tasks
 
@@ -388,6 +389,15 @@ func (m *CheckpointTaskResponse) Reset()                    { *m = CheckpointTas
 func (*CheckpointTaskResponse) ProtoMessage()               {}
 func (*CheckpointTaskResponse) Descriptor() ([]byte, []int) { return fileDescriptorTasks, []int{20} }
 
+type UpdateTaskRequest struct {
+	ContainerID string                `protobuf:"bytes,1,opt,name=container_id,json=containerId,proto3" json:"container_id,omitempty"`
+	Resources   *google_protobuf1.Any `protobuf:"bytes,2,opt,name=resources" json:"resources,omitempty"`
+}
+
+func (m *UpdateTaskRequest) Reset()                    { *m = UpdateTaskRequest{} }
+func (*UpdateTaskRequest) ProtoMessage()               {}
+func (*UpdateTaskRequest) Descriptor() ([]byte, []int) { return fileDescriptorTasks, []int{21} }
+
 func init() {
 	proto.RegisterType((*CreateTaskRequest)(nil), "containerd.services.tasks.v1.CreateTaskRequest")
 	proto.RegisterType((*CreateTaskResponse)(nil), "containerd.services.tasks.v1.CreateTaskResponse")
@@ -410,6 +420,7 @@ func init() {
 	proto.RegisterType((*ListProcessesResponse)(nil), "containerd.services.tasks.v1.ListProcessesResponse")
 	proto.RegisterType((*CheckpointTaskRequest)(nil), "containerd.services.tasks.v1.CheckpointTaskRequest")
 	proto.RegisterType((*CheckpointTaskResponse)(nil), "containerd.services.tasks.v1.CheckpointTaskResponse")
+	proto.RegisterType((*UpdateTaskRequest)(nil), "containerd.services.tasks.v1.UpdateTaskRequest")
 }
 
 // Reference imports to suppress errors if they are not otherwise used.
@@ -441,6 +452,7 @@ type TasksClient interface {
 	Resume(ctx context.Context, in *ResumeTaskRequest, opts ...grpc.CallOption) (*google_protobuf.Empty, error)
 	ListProcesses(ctx context.Context, in *ListProcessesRequest, opts ...grpc.CallOption) (*ListProcessesResponse, error)
 	Checkpoint(ctx context.Context, in *CheckpointTaskRequest, opts ...grpc.CallOption) (*CheckpointTaskResponse, error)
+	Update(ctx context.Context, in *UpdateTaskRequest, opts ...grpc.CallOption) (*google_protobuf.Empty, error)
 }
 
 type tasksClient struct {
@@ -577,6 +589,15 @@ func (c *tasksClient) Checkpoint(ctx context.Context, in *CheckpointTaskRequest,
 	return out, nil
 }
 
+func (c *tasksClient) Update(ctx context.Context, in *UpdateTaskRequest, opts ...grpc.CallOption) (*google_protobuf.Empty, error) {
+	out := new(google_protobuf.Empty)
+	err := grpc.Invoke(ctx, "/containerd.services.tasks.v1.Tasks/Update", in, out, c.cc, opts...)
+	if err != nil {
+		return nil, err
+	}
+	return out, nil
+}
+
 // Server API for Tasks service
 
 type TasksServer interface {
@@ -598,6 +619,7 @@ type TasksServer interface {
 	Resume(context.Context, *ResumeTaskRequest) (*google_protobuf.Empty, error)
 	ListProcesses(context.Context, *ListProcessesRequest) (*ListProcessesResponse, error)
 	Checkpoint(context.Context, *CheckpointTaskRequest) (*CheckpointTaskResponse, error)
+	Update(context.Context, *UpdateTaskRequest) (*google_protobuf.Empty, error)
 }
 
 func RegisterTasksServer(s *grpc.Server, srv TasksServer) {
@@ -856,6 +878,24 @@ func _Tasks_Checkpoint_Handler(srv interface{}, ctx context.Context, dec func(in
 	return interceptor(ctx, in, info, handler)
 }
 
+func _Tasks_Update_Handler(srv interface{}, ctx context.Context, dec func(interface{}) error, interceptor grpc.UnaryServerInterceptor) (interface{}, error) {
+	in := new(UpdateTaskRequest)
+	if err := dec(in); err != nil {
+		return nil, err
+	}
+	if interceptor == nil {
+		return srv.(TasksServer).Update(ctx, in)
+	}
+	info := &grpc.UnaryServerInfo{
+		Server:     srv,
+		FullMethod: "/containerd.services.tasks.v1.Tasks/Update",
+	}
+	handler := func(ctx context.Context, req interface{}) (interface{}, error) {
+		return srv.(TasksServer).Update(ctx, req.(*UpdateTaskRequest))
+	}
+	return interceptor(ctx, in, info, handler)
+}
+
 var _Tasks_serviceDesc = grpc.ServiceDesc{
 	ServiceName: "containerd.services.tasks.v1.Tasks",
 	HandlerType: (*TasksServer)(nil),
@@ -916,6 +956,10 @@ var _Tasks_serviceDesc = grpc.ServiceDesc{
 			MethodName: "Checkpoint",
 			Handler:    _Tasks_Checkpoint_Handler,
 		},
+		{
+			MethodName: "Update",
+			Handler:    _Tasks_Update_Handler,
+		},
 	},
 	Streams:  []grpc.StreamDesc{},
 	Metadata: "github.com/containerd/containerd/api/services/tasks/v1/tasks.proto",
@@ -1646,6 +1690,40 @@ func (m *CheckpointTaskResponse) MarshalTo(dAtA []byte) (int, error) {
 	return i, nil
 }
 
+func (m *UpdateTaskRequest) Marshal() (dAtA []byte, err error) {
+	size := m.Size()
+	dAtA = make([]byte, size)
+	n, err := m.MarshalTo(dAtA)
+	if err != nil {
+		return nil, err
+	}
+	return dAtA[:n], nil
+}
+
+func (m *UpdateTaskRequest) MarshalTo(dAtA []byte) (int, error) {
+	var i int
+	_ = i
+	var l int
+	_ = l
+	if len(m.ContainerID) > 0 {
+		dAtA[i] = 0xa
+		i++
+		i = encodeVarintTasks(dAtA, i, uint64(len(m.ContainerID)))
+		i += copy(dAtA[i:], m.ContainerID)
+	}
+	if m.Resources != nil {
+		dAtA[i] = 0x12
+		i++
+		i = encodeVarintTasks(dAtA, i, uint64(m.Resources.Size()))
+		n6, err := m.Resources.MarshalTo(dAtA[i:])
+		if err != nil {
+			return 0, err
+		}
+		i += n6
+	}
+	return i, nil
+}
+
 func encodeFixed64Tasks(dAtA []byte, offset int, v uint64) int {
 	dAtA[offset] = uint8(v)
 	dAtA[offset+1] = uint8(v >> 8)
@@ -1991,6 +2069,20 @@ func (m *CheckpointTaskResponse) Size() (n int) {
 	return n
 }
 
+func (m *UpdateTaskRequest) Size() (n int) {
+	var l int
+	_ = l
+	l = len(m.ContainerID)
+	if l > 0 {
+		n += 1 + l + sovTasks(uint64(l))
+	}
+	if m.Resources != nil {
+		l = m.Resources.Size()
+		n += 1 + l + sovTasks(uint64(l))
+	}
+	return n
+}
+
 func sovTasks(x uint64) (n int) {
 	for {
 		n++
@@ -2269,6 +2361,17 @@ func (this *CheckpointTaskResponse) String() string {
 	}, "")
 	return s
 }
+func (this *UpdateTaskRequest) String() string {
+	if this == nil {
+		return "nil"
+	}
+	s := strings.Join([]string{`&UpdateTaskRequest{`,
+		`ContainerID:` + fmt.Sprintf("%v", this.ContainerID) + `,`,
+		`Resources:` + strings.Replace(fmt.Sprintf("%v", this.Resources), "Any", "google_protobuf1.Any", 1) + `,`,
+		`}`,
+	}, "")
+	return s
+}
 func valueToStringTasks(v interface{}) string {
 	rv := reflect.ValueOf(v)
 	if rv.IsNil() {
@@ -4654,6 +4757,118 @@ func (m *CheckpointTaskResponse) Unmarshal(dAtA []byte) error {
 	}
 	return nil
 }
+func (m *UpdateTaskRequest) Unmarshal(dAtA []byte) error {
+	l := len(dAtA)
+	iNdEx := 0
+	for iNdEx < l {
+		preIndex := iNdEx
+		var wire uint64
+		for shift := uint(0); ; shift += 7 {
+			if shift >= 64 {
+				return ErrIntOverflowTasks
+			}
+			if iNdEx >= l {
+				return io.ErrUnexpectedEOF
+			}
+			b := dAtA[iNdEx]
+			iNdEx++
+			wire |= (uint64(b) & 0x7F) << shift
+			if b < 0x80 {
+				break
+			}
+		}
+		fieldNum := int32(wire >> 3)
+		wireType := int(wire & 0x7)
+		if wireType == 4 {
+			return fmt.Errorf("proto: UpdateTaskRequest: wiretype end group for non-group")
+		}
+		if fieldNum <= 0 {
+			return fmt.Errorf("proto: UpdateTaskRequest: illegal tag %d (wire type %d)", fieldNum, wire)
+		}
+		switch fieldNum {
+		case 1:
+			if wireType != 2 {
+				return fmt.Errorf("proto: wrong wireType = %d for field ContainerID", wireType)
+			}
+			var stringLen uint64
+			for shift := uint(0); ; shift += 7 {
+				if shift >= 64 {
+					return ErrIntOverflowTasks
+				}
+				if iNdEx >= l {
+					return io.ErrUnexpectedEOF
+				}
+				b := dAtA[iNdEx]
+				iNdEx++
+				stringLen |= (uint64(b) & 0x7F) << shift
+				if b < 0x80 {
+					break
+				}
+			}
+			intStringLen := int(stringLen)
+			if intStringLen < 0 {
+				return ErrInvalidLengthTasks
+			}
+			postIndex := iNdEx + intStringLen
+			if postIndex > l {
+				return io.ErrUnexpectedEOF
+			}
+			m.ContainerID = string(dAtA[iNdEx:postIndex])
+			iNdEx = postIndex
+		case 2:
+			if wireType != 2 {
+				return fmt.Errorf("proto: wrong wireType = %d for field Resources", wireType)
+			}
+			var msglen int
+			for shift := uint(0); ; shift += 7 {
+				if shift >= 64 {
+					return ErrIntOverflowTasks
+				}
+				if iNdEx >= l {
+					return io.ErrUnexpectedEOF
+				}
+				b := dAtA[iNdEx]
+				iNdEx++
+				msglen |= (int(b) & 0x7F) << shift
+				if b < 0x80 {
+					break
+				}
+			}
+			if msglen < 0 {
+				return ErrInvalidLengthTasks
+			}
+			postIndex := iNdEx + msglen
+			if postIndex > l {
+				return io.ErrUnexpectedEOF
+			}
+			if m.Resources == nil {
+				m.Resources = &google_protobuf1.Any{}
+			}
+			if err := m.Resources.Unmarshal(dAtA[iNdEx:postIndex]); err != nil {
+				return err
+			}
+			iNdEx = postIndex
+		default:
+			iNdEx = preIndex
+			skippy, err := skipTasks(dAtA[iNdEx:])
+			if err != nil {
+				return err
+			}
+			if skippy < 0 {
+				return ErrInvalidLengthTasks
+			}
+			if (iNdEx + skippy) > l {
+				return io.ErrUnexpectedEOF
+			}
+			iNdEx += skippy
+		}
+	}
+
+	if iNdEx > l {
+		return io.ErrUnexpectedEOF
+	}
+	return nil
+}
 func skipTasks(dAtA []byte) (n int, err error) {
 	l := len(dAtA)
 	iNdEx := 0
@@ -4764,80 +4979,82 @@ func init() {
 }
 
 var fileDescriptorTasks = []byte{
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-	0x10, 0x7d, 0xd7, 0xc1, 0x10, 0x00, 0x00,
+	// 1231 bytes of a gzipped FileDescriptorProto
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+	0xfc, 0xfd, 0xa6, 0x30, 0xf3, 0xe3, 0x4d, 0x41, 0xba, 0xba, 0x29, 0x48, 0x7f, 0xde, 0x14, 0xa4,
+	0xff, 0x6e, 0x0a, 0xd2, 0xc9, 0xb3, 0xbb, 0xfd, 0x94, 0xf2, 0x94, 0x1f, 0x4e, 0x33, 0xfc, 0x9d,
+	0xcd, 0xff, 0x03, 0x00, 0x00, 0xff, 0xff, 0x1a, 0x9f, 0x9a, 0x26, 0x91, 0x11, 0x00, 0x00,
 }
diff --git a/api/services/tasks/v1/tasks.proto b/api/services/tasks/v1/tasks.proto
index a46c1bee0..d248d4df7 100644
--- a/api/services/tasks/v1/tasks.proto
+++ b/api/services/tasks/v1/tasks.proto
@@ -44,6 +44,8 @@ service Tasks {
 	rpc ListProcesses(ListProcessesRequest) returns (ListProcessesResponse);
 
 	rpc Checkpoint(CheckpointTaskRequest) returns (CheckpointTaskResponse);
+
+	rpc Update(UpdateTaskRequest) returns (google.protobuf.Empty);
 }
 
 message CreateTaskRequest {
@@ -188,3 +190,8 @@ message CheckpointTaskRequest {
 message CheckpointTaskResponse {
 	repeated containerd.types.Descriptor descriptors = 1;
 }
+
+message UpdateTaskRequest {
+	string container_id = 1;
+	google.protobuf.Any resources = 2;
+}
diff --git a/container_test.go b/container_test.go
index ccf815099..f31fd9db7 100644
--- a/container_test.go
+++ b/container_test.go
@@ -9,6 +9,9 @@ import (
 	"sync"
 	"syscall"
 	"testing"
+
+	"github.com/containerd/cgroups"
+	specs "github.com/opencontainers/runtime-spec/specs-go"
 )
 
 func empty() IOCreation {
@@ -734,3 +737,95 @@ func TestContainerKill(t *testing.T) {
 		t.Errorf("expected error %q but received %q", ErrProcessExited, err)
 	}
 }
+
+func TestContainerUpdate(t *testing.T) {
+	if testing.Short() {
+		t.Skip()
+	}
+	client, err := New(address)
+	if err != nil {
+		t.Fatal(err)
+	}
+	defer client.Close()
+
+	var (
+		ctx, cancel = testContext()
+		id          = t.Name()
+	)
+	defer cancel()
+
+	image, err := client.GetImage(ctx, testImage)
+	if err != nil {
+		t.Error(err)
+		return
+	}
+	spec, err := GenerateSpec(WithImageConfig(ctx, image), WithProcessArgs("sleep", "30"))
+	if err != nil {
+		t.Error(err)
+		return
+	}
+	limit := uint64(32 * 1024 * 1024)
+	spec.Linux.Resources.Memory = &specs.LinuxMemory{
+		Limit: &limit,
+	}
+	container, err := client.NewContainer(ctx, id, WithSpec(spec), WithNewRootFS(id, image))
+	if err != nil {
+		t.Error(err)
+		return
+	}
+	defer container.Delete(ctx, WithRootFSDeletion)
+
+	task, err := container.NewTask(ctx, empty())
+	if err != nil {
+		t.Error(err)
+		return
+	}
+	defer task.Delete(ctx)
+
+	statusC := make(chan uint32, 1)
+	go func() {
+		status, err := task.Wait(ctx)
+		if err != nil {
+			t.Error(err)
+		}
+		statusC <- status
+	}()
+
+	// check that the task has a limit of 32mb
+	cgroup, err := cgroups.Load(cgroups.V1, cgroups.PidPath(int(task.Pid())))
+	if err != nil {
+		t.Error(err)
+		return
+	}
+	stat, err := cgroup.Stat(cgroups.IgnoreNotExist)
+	if err != nil {
+		t.Error(err)
+		return
+	}
+	if stat.Memory.Usage.Limit != limit {
+		t.Errorf("expected memory limit to be set to %d but received %d", limit, stat.Memory.Usage.Limit)
+		return
+	}
+	limit = 64 * 1024 * 1024
+	if err := task.Update(ctx, WithResources(&specs.LinuxResources{
+		Memory: &specs.LinuxMemory{
+			Limit: &limit,
+		},
+	})); err != nil {
+		t.Error(err)
+	}
+	// check that the task has a limit of 64mb
+	if stat, err = cgroup.Stat(cgroups.IgnoreNotExist); err != nil {
+		t.Error(err)
+		return
+	}
+	if stat.Memory.Usage.Limit != limit {
+		t.Errorf("expected memory limit to be set to %d but received %d", limit, stat.Memory.Usage.Limit)
+	}
+	if err := task.Kill(ctx, syscall.SIGKILL); err != nil {
+		t.Error(err)
+		return
+	}
+
+	<-statusC
+}
diff --git a/linux/shim/init.go b/linux/shim/init.go
index b1897e8b9..ed939a36a 100644
--- a/linux/shim/init.go
+++ b/linux/shim/init.go
@@ -23,6 +23,7 @@ import (
 	"github.com/containerd/containerd/plugin"
 	"github.com/containerd/fifo"
 	runc "github.com/containerd/go-runc"
+	specs "github.com/opencontainers/runtime-spec/specs-go"
 	"github.com/pkg/errors"
 )
 
@@ -284,6 +285,14 @@ func (p *initProcess) Checkpoint(context context.Context, r *shimapi.CheckpointT
 	return nil
 }
 
+func (p *initProcess) Update(context context.Context, r *shimapi.UpdateTaskRequest) error {
+	var resources specs.LinuxResources
+	if err := json.Unmarshal(r.Resources.Value, &resources); err != nil {
+		return err
+	}
+	return p.runc.Update(context, p.id, &resources)
+}
+
 // TODO(mlaventure): move to runc package?
 func getLastRuncError(r *runc.Runc) (string, error) {
 	if r.Log == "" {
diff --git a/linux/shim/local.go b/linux/shim/local.go
index c26be7b11..fd133f31d 100644
--- a/linux/shim/local.go
+++ b/linux/shim/local.go
@@ -91,6 +91,10 @@ func (c *local) ShimInfo(ctx context.Context, in *google_protobuf.Empty, opts ..
 	return c.s.ShimInfo(ctx, in)
 }
 
+func (c *local) Update(ctx context.Context, in *shimapi.UpdateTaskRequest, opts ...grpc.CallOption) (*google_protobuf.Empty, error) {
+	return c.s.Update(ctx, in)
+}
+
 type events struct {
 	c   chan *shimapi.Event
 	ctx context.Context
diff --git a/linux/shim/service.go b/linux/shim/service.go
index 70045e1af..0f8fefbd5 100644
--- a/linux/shim/service.go
+++ b/linux/shim/service.go
@@ -364,6 +364,16 @@ func (s *Service) ShimInfo(ctx context.Context, r *google_protobuf.Empty) (*shim
 	}, nil
 }
 
+func (s *Service) Update(ctx context.Context, r *shimapi.UpdateTaskRequest) (*google_protobuf.Empty, error) {
+	if s.initProcess == nil {
+		return nil, errors.New(ErrContainerNotCreated)
+	}
+	if err := s.initProcess.Update(ctx, r); err != nil {
+		return nil, err
+	}
+	return empty, nil
+}
+
 func (s *Service) waitExit(p process, pid int, cmd *reaper.Cmd) {
 	status := <-cmd.ExitCh
 	p.Exited(status)
diff --git a/linux/shim/v1/shim.pb.go b/linux/shim/v1/shim.pb.go
index cdde478c6..e6110482c 100644
--- a/linux/shim/v1/shim.pb.go
+++ b/linux/shim/v1/shim.pb.go
@@ -25,6 +25,7 @@
 		ShimInfoResponse
 		StreamEventsRequest
 		Event
+		UpdateTaskRequest
 */
 package shim
 
@@ -258,6 +259,14 @@ func (m *Event) Reset()                    { *m = Event{} }
 func (*Event) ProtoMessage()               {}
 func (*Event) Descriptor() ([]byte, []int) { return fileDescriptorShim, []int{15} }
 
+type UpdateTaskRequest struct {
+	Resources *google_protobuf.Any `protobuf:"bytes,1,opt,name=resources" json:"resources,omitempty"`
+}
+
+func (m *UpdateTaskRequest) Reset()                    { *m = UpdateTaskRequest{} }
+func (*UpdateTaskRequest) ProtoMessage()               {}
+func (*UpdateTaskRequest) Descriptor() ([]byte, []int) { return fileDescriptorShim, []int{16} }
+
 func init() {
 	proto.RegisterType((*CreateTaskRequest)(nil), "containerd.runtime.linux.shim.v1.CreateTaskRequest")
 	proto.RegisterType((*CreateTaskResponse)(nil), "containerd.runtime.linux.shim.v1.CreateTaskResponse")
@@ -275,6 +284,7 @@ func init() {
 	proto.RegisterType((*ShimInfoResponse)(nil), "containerd.runtime.linux.shim.v1.ShimInfoResponse")
 	proto.RegisterType((*StreamEventsRequest)(nil), "containerd.runtime.linux.shim.v1.StreamEventsRequest")
 	proto.RegisterType((*Event)(nil), "containerd.runtime.linux.shim.v1.Event")
+	proto.RegisterType((*UpdateTaskRequest)(nil), "containerd.runtime.linux.shim.v1.UpdateTaskRequest")
 	proto.RegisterEnum("containerd.runtime.linux.shim.v1.Event_EventType", Event_EventType_name, Event_EventType_value)
 }
 
@@ -306,6 +316,7 @@ type ShimClient interface {
 	CloseIO(ctx context.Context, in *CloseIORequest, opts ...grpc.CallOption) (*google_protobuf1.Empty, error)
 	// ShimInfo returns information about the shim.
 	ShimInfo(ctx context.Context, in *google_protobuf1.Empty, opts ...grpc.CallOption) (*ShimInfoResponse, error)
+	Update(ctx context.Context, in *UpdateTaskRequest, opts ...grpc.CallOption) (*google_protobuf1.Empty, error)
 }
 
 type shimClient struct {
@@ -474,6 +485,15 @@ func (c *shimClient) ShimInfo(ctx context.Context, in *google_protobuf1.Empty, o
 	return out, nil
 }
 
+func (c *shimClient) Update(ctx context.Context, in *UpdateTaskRequest, opts ...grpc.CallOption) (*google_protobuf1.Empty, error) {
+	out := new(google_protobuf1.Empty)
+	err := grpc.Invoke(ctx, "/containerd.runtime.linux.shim.v1.Shim/Update", in, out, c.cc, opts...)
+	if err != nil {
+		return nil, err
+	}
+	return out, nil
+}
+
 // Server API for Shim service
 
 type ShimServer interface {
@@ -494,6 +514,7 @@ type ShimServer interface {
 	CloseIO(context.Context, *CloseIORequest) (*google_protobuf1.Empty, error)
 	// ShimInfo returns information about the shim.
 	ShimInfo(context.Context, *google_protobuf1.Empty) (*ShimInfoResponse, error)
+	Update(context.Context, *UpdateTaskRequest) (*google_protobuf1.Empty, error)
 }
 
 func RegisterShimServer(s *grpc.Server, srv ShimServer) {
@@ -773,6 +794,24 @@ func _Shim_ShimInfo_Handler(srv interface{}, ctx context.Context, dec func(inter
 	return interceptor(ctx, in, info, handler)
 }
 
+func _Shim_Update_Handler(srv interface{}, ctx context.Context, dec func(interface{}) error, interceptor grpc.UnaryServerInterceptor) (interface{}, error) {
+	in := new(UpdateTaskRequest)
+	if err := dec(in); err != nil {
+		return nil, err
+	}
+	if interceptor == nil {
+		return srv.(ShimServer).Update(ctx, in)
+	}
+	info := &grpc.UnaryServerInfo{
+		Server:     srv,
+		FullMethod: "/containerd.runtime.linux.shim.v1.Shim/Update",
+	}
+	handler := func(ctx context.Context, req interface{}) (interface{}, error) {
+		return srv.(ShimServer).Update(ctx, req.(*UpdateTaskRequest))
+	}
+	return interceptor(ctx, in, info, handler)
+}
+
 var _Shim_serviceDesc = grpc.ServiceDesc{
 	ServiceName: "containerd.runtime.linux.shim.v1.Shim",
 	HandlerType: (*ShimServer)(nil),
@@ -833,6 +872,10 @@ var _Shim_serviceDesc = grpc.ServiceDesc{
 			MethodName: "ShimInfo",
 			Handler:    _Shim_ShimInfo_Handler,
 		},
+		{
+			MethodName: "Update",
+			Handler:    _Shim_Update_Handler,
+		},
 	},
 	Streams: []grpc.StreamDesc{
 		{
@@ -1460,6 +1503,34 @@ func (m *Event) MarshalTo(dAtA []byte) (int, error) {
 	return i, nil
 }
 
+func (m *UpdateTaskRequest) Marshal() (dAtA []byte, err error) {
+	size := m.Size()
+	dAtA = make([]byte, size)
+	n, err := m.MarshalTo(dAtA)
+	if err != nil {
+		return nil, err
+	}
+	return dAtA[:n], nil
+}
+
+func (m *UpdateTaskRequest) MarshalTo(dAtA []byte) (int, error) {
+	var i int
+	_ = i
+	var l int
+	_ = l
+	if m.Resources != nil {
+		dAtA[i] = 0xa
+		i++
+		i = encodeVarintShim(dAtA, i, uint64(m.Resources.Size()))
+		n4, err := m.Resources.MarshalTo(dAtA[i:])
+		if err != nil {
+			return 0, err
+		}
+		i += n4
+	}
+	return i, nil
+}
+
 func encodeFixed64Shim(dAtA []byte, offset int, v uint64) int {
 	dAtA[offset] = uint8(v)
 	dAtA[offset+1] = uint8(v >> 8)
@@ -1759,6 +1830,16 @@ func (m *Event) Size() (n int) {
 	return n
 }
 
+func (m *UpdateTaskRequest) Size() (n int) {
+	var l int
+	_ = l
+	if m.Resources != nil {
+		l = m.Resources.Size()
+		n += 1 + l + sovShim(uint64(l))
+	}
+	return n
+}
+
 func sovShim(x uint64) (n int) {
 	for {
 		n++
@@ -1974,6 +2055,16 @@ func (this *Event) String() string {
 	}, "")
 	return s
 }
+func (this *UpdateTaskRequest) String() string {
+	if this == nil {
+		return "nil"
+	}
+	s := strings.Join([]string{`&UpdateTaskRequest{`,
+		`Resources:` + strings.Replace(fmt.Sprintf("%v", this.Resources), "Any", "google_protobuf.Any", 1) + `,`,
+		`}`,
+	}, "")
+	return s
+}
 func valueToStringShim(v interface{}) string {
 	rv := reflect.ValueOf(v)
 	if rv.IsNil() {
@@ -4058,6 +4149,89 @@ func (m *Event) Unmarshal(dAtA []byte) error {
 	}
 	return nil
 }
+func (m *UpdateTaskRequest) Unmarshal(dAtA []byte) error {
+	l := len(dAtA)
+	iNdEx := 0
+	for iNdEx < l {
+		preIndex := iNdEx
+		var wire uint64
+		for shift := uint(0); ; shift += 7 {
+			if shift >= 64 {
+				return ErrIntOverflowShim
+			}
+			if iNdEx >= l {
+				return io.ErrUnexpectedEOF
+			}
+			b := dAtA[iNdEx]
+			iNdEx++
+			wire |= (uint64(b) & 0x7F) << shift
+			if b < 0x80 {
+				break
+			}
+		}
+		fieldNum := int32(wire >> 3)
+		wireType := int(wire & 0x7)
+		if wireType == 4 {
+			return fmt.Errorf("proto: UpdateTaskRequest: wiretype end group for non-group")
+		}
+		if fieldNum <= 0 {
+			return fmt.Errorf("proto: UpdateTaskRequest: illegal tag %d (wire type %d)", fieldNum, wire)
+		}
+		switch fieldNum {
+		case 1:
+			if wireType != 2 {
+				return fmt.Errorf("proto: wrong wireType = %d for field Resources", wireType)
+			}
+			var msglen int
+			for shift := uint(0); ; shift += 7 {
+				if shift >= 64 {
+					return ErrIntOverflowShim
+				}
+				if iNdEx >= l {
+					return io.ErrUnexpectedEOF
+				}
+				b := dAtA[iNdEx]
+				iNdEx++
+				msglen |= (int(b) & 0x7F) << shift
+				if b < 0x80 {
+					break
+				}
+			}
+			if msglen < 0 {
+				return ErrInvalidLengthShim
+			}
+			postIndex := iNdEx + msglen
+			if postIndex > l {
+				return io.ErrUnexpectedEOF
+			}
+			if m.Resources == nil {
+				m.Resources = &google_protobuf.Any{}
+			}
+			if err := m.Resources.Unmarshal(dAtA[iNdEx:postIndex]); err != nil {
+				return err
+			}
+			iNdEx = postIndex
+		default:
+			iNdEx = preIndex
+			skippy, err := skipShim(dAtA[iNdEx:])
+			if err != nil {
+				return err
+			}
+			if skippy < 0 {
+				return ErrInvalidLengthShim
+			}
+			if (iNdEx + skippy) > l {
+				return io.ErrUnexpectedEOF
+			}
+			iNdEx += skippy
+		}
+	}
+
+	if iNdEx > l {
+		return io.ErrUnexpectedEOF
+	}
+	return nil
+}
 func skipShim(dAtA []byte) (n int, err error) {
 	l := len(dAtA)
 	iNdEx := 0
@@ -4168,80 +4342,82 @@ func init() {
 }
 
 var fileDescriptorShim = []byte{
-	// 1186 bytes of a gzipped FileDescriptorProto
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+	// 1224 bytes of a gzipped FileDescriptorProto
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+	0xee, 0xaf, 0xf0, 0xc7, 0xfc, 0x7b, 0x2e, 0x8b, 0xed, 0x77, 0xfe, 0x0d, 0x00, 0x00, 0xff, 0xff,
+	0x94, 0x4d, 0x29, 0x2c, 0x48, 0x0f, 0x00, 0x00,
 }
diff --git a/linux/shim/v1/shim.proto b/linux/shim/v1/shim.proto
index 0ff594b31..357fc1e15 100644
--- a/linux/shim/v1/shim.proto
+++ b/linux/shim/v1/shim.proto
@@ -47,6 +47,8 @@ service Shim {
 
 	// ShimInfo returns information about the shim.
 	rpc ShimInfo(google.protobuf.Empty) returns (ShimInfoResponse);
+
+	rpc Update(UpdateTaskRequest) returns (google.protobuf.Empty);
 }
 
 message CreateTaskRequest {
@@ -154,3 +156,7 @@ message Event {
 	uint32 exit_status = 4;
 	google.protobuf.Timestamp exited_at = 5 [(gogoproto.stdtime) = true, (gogoproto.nullable) = false];
 }
+
+message UpdateTaskRequest {
+	google.protobuf.Any resources = 1;
+}
diff --git a/linux/task.go b/linux/task.go
index 31bea16da..af369e5a3 100644
--- a/linux/task.go
+++ b/linux/task.go
@@ -192,6 +192,16 @@ func (t *Task) DeleteProcess(ctx context.Context, pid uint32) (*plugin.Exit, err
 	}, nil
 }
 
+func (t *Task) Update(ctx context.Context, resources []byte) error {
+	_, err := t.shim.Update(ctx, &shim.UpdateTaskRequest{
+		Resources: &protobuf.Any{
+			TypeUrl: specs.Version,
+			Value:   resources,
+		},
+	})
+	return err
+}
+
 type Process struct {
 	pid int
 	t   *Task
diff --git a/plugin/task.go b/plugin/task.go
index bedf0584a..d42499d76 100644
--- a/plugin/task.go
+++ b/plugin/task.go
@@ -35,6 +35,8 @@ type Task interface {
 	Checkpoint(context.Context, string, map[string]string) error
 	// DeleteProcess deletes a specific exec process via the pid
 	DeleteProcess(context.Context, uint32) (*Exit, error)
+	// Update sets the provided resources to a running task
+	Update(context.Context, []byte) error
 }
 
 type ExecOpts struct {
diff --git a/services/tasks/service.go b/services/tasks/service.go
index a15029a25..c9bd387f1 100644
--- a/services/tasks/service.go
+++ b/services/tasks/service.go
@@ -451,6 +451,17 @@ func (s *Service) Checkpoint(ctx context.Context, r *api.CheckpointTaskRequest)
 	}, nil
 }
 
+func (s *Service) Update(ctx context.Context, r *api.UpdateTaskRequest) (*google_protobuf.Empty, error) {
+	t, err := s.getTask(ctx, r.ContainerID)
+	if err != nil {
+		return nil, err
+	}
+	if err := t.Update(ctx, r.Resources.Value); err != nil {
+		return nil, err
+	}
+	return empty, nil
+}
+
 func (s *Service) writeContent(ctx context.Context, mediaType, ref string, r io.Reader) (*types.Descriptor, error) {
 	writer, err := s.store.Writer(ctx, ref, 0, "")
 	if err != nil {
diff --git a/spec_unix.go b/spec_unix.go
index 375428973..283889745 100644
--- a/spec_unix.go
+++ b/spec_unix.go
@@ -11,6 +11,7 @@ import (
 	"strings"
 
 	"github.com/containerd/containerd/api/services/containers/v1"
+	"github.com/containerd/containerd/api/services/tasks/v1"
 	"github.com/containerd/containerd/images"
 	protobuf "github.com/gogo/protobuf/types"
 	"github.com/opencontainers/image-spec/specs-go/v1"
@@ -290,3 +291,17 @@ func WithSpec(spec *specs.Spec) NewContainerOpts {
 		return nil
 	}
 }
+
+func WithResources(resources *specs.LinuxResources) UpdateTaskOpts {
+	return func(ctx context.Context, client *Client, r *tasks.UpdateTaskRequest) error {
+		data, err := json.Marshal(resources)
+		if err != nil {
+			return err
+		}
+		r.Resources = &protobuf.Any{
+			TypeUrl: specs.Version,
+			Value:   data,
+		}
+		return nil
+	}
+}
diff --git a/spec_windows.go b/spec_windows.go
index 7f0bae0cb..8e60f0a5c 100644
--- a/spec_windows.go
+++ b/spec_windows.go
@@ -7,6 +7,7 @@ import (
 	"runtime"
 
 	"github.com/containerd/containerd/api/services/containers/v1"
+	tasks "github.com/containerd/containerd/api/services/tasks/v1"
 	"github.com/containerd/containerd/images"
 	protobuf "github.com/gogo/protobuf/types"
 	"github.com/opencontainers/image-spec/specs-go/v1"
@@ -92,3 +93,17 @@ func WithSpec(spec *specs.Spec) NewContainerOpts {
 		return nil
 	}
 }
+
+func WithResources(resources *specs.WindowsResources) UpdateTaskOpts {
+	return func(ctx context.Context, client *Client, r *tasks.UpdateTaskRequest) error {
+		data, err := json.Marshal(resources)
+		if err != nil {
+			return err
+		}
+		r.Resources = &protobuf.Any{
+			TypeUrl: specs.Version,
+			Value:   data,
+		}
+		return nil
+	}
+}
diff --git a/task.go b/task.go
index edb41878b..85a3c3030 100644
--- a/task.go
+++ b/task.go
@@ -57,6 +57,7 @@ type Task interface {
 	Resize(ctx context.Context, w, h uint32) error
 	IO() *IO
 	Checkpoint(context.Context, ...CheckpointOpts) (v1.Descriptor, error)
+	Update(context.Context, ...UpdateTaskOpts) error
 }
 
 type Process interface {
@@ -292,6 +293,21 @@ func (t *task) Checkpoint(ctx context.Context, opts ...CheckpointOpts) (d v1.Des
 	return t.writeIndex(ctx, &index)
 }
 
+type UpdateTaskOpts func(context.Context, *Client, *tasks.UpdateTaskRequest) error
+
+func (t *task) Update(ctx context.Context, opts ...UpdateTaskOpts) error {
+	request := &tasks.UpdateTaskRequest{
+		ContainerID: t.containerID,
+	}
+	for _, o := range opts {
+		if err := o(ctx, t.client, request); err != nil {
+			return err
+		}
+	}
+	_, err := t.client.TaskService().Update(ctx, request)
+	return err
+}
+
 func (t *task) checkpointTask(ctx context.Context, index *v1.Index, request *tasks.CheckpointTaskRequest) error {
 	response, err := t.client.TaskService().Checkpoint(ctx, request)
 	if err != nil {
diff --git a/windows/container.go b/windows/container.go
index 7102fb7c7..a2d8f11a9 100644
--- a/windows/container.go
+++ b/windows/container.go
@@ -214,6 +214,10 @@ func (c *container) DeleteProcess(ctx context.Context, pid uint32) (*plugin.Exit
 	}, nil
 }
 
+func (c *container) Update(ctx context.Context, spec []byte) error {
+	return fmt.Errorf("Windows containers do not support update")
+}
+
 func (c *container) setStatus(status plugin.Status) {
 	c.Lock()
 	c.status = status