diff --git a/cli/command/container/client_test.go b/cli/command/container/client_test.go
index 67ae04904f..3643550b92 100644
--- a/cli/command/container/client_test.go
+++ b/cli/command/container/client_test.go
@@ -31,6 +31,7 @@ type fakeClient struct {
 	containerListFunc       func(types.ContainerListOptions) ([]types.Container, error)
 	containerExportFunc     func(string) (io.ReadCloser, error)
 	containerExecResizeFunc func(id string, options types.ResizeOptions) error
+	containerRemoveFunc     func(ctx context.Context, container string, options types.ContainerRemoveOptions) error
 	Version                 string
 }
 
@@ -80,6 +81,13 @@ func (f *fakeClient) ContainerCreate(
 	return container.ContainerCreateCreatedBody{}, nil
 }
 
+func (f *fakeClient) ContainerRemove(ctx context.Context, container string, options types.ContainerRemoveOptions) error {
+	if f.containerRemoveFunc != nil {
+		return f.containerRemoveFunc(ctx, container, options)
+	}
+	return nil
+}
+
 func (f *fakeClient) ImageCreate(ctx context.Context, parentReference string, options types.ImageCreateOptions) (io.ReadCloser, error) {
 	if f.imageCreateFunc != nil {
 		return f.imageCreateFunc(parentReference, options)
diff --git a/cli/command/container/rm.go b/cli/command/container/rm.go
index 54ce2ad1a8..2a2528c6f4 100644
--- a/cli/command/container/rm.go
+++ b/cli/command/container/rm.go
@@ -8,6 +8,7 @@ import (
 	"github.com/docker/cli/cli"
 	"github.com/docker/cli/cli/command"
 	"github.com/docker/docker/api/types"
+	"github.com/docker/docker/errdefs"
 	"github.com/pkg/errors"
 	"github.com/spf13/cobra"
 )
@@ -61,6 +62,10 @@ func runRm(dockerCli command.Cli, opts *rmOptions) error {
 
 	for _, name := range opts.containers {
 		if err := <-errChan; err != nil {
+			if opts.force && errdefs.IsNotFound(err) {
+				fmt.Fprintln(dockerCli.Err(), err)
+				continue
+			}
 			errs = append(errs, err.Error())
 			continue
 		}
diff --git a/cli/command/container/rm_test.go b/cli/command/container/rm_test.go
new file mode 100644
index 0000000000..07c3f490f0
--- /dev/null
+++ b/cli/command/container/rm_test.go
@@ -0,0 +1,46 @@
+package container
+
+import (
+	"context"
+	"fmt"
+	"io/ioutil"
+	"sort"
+	"testing"
+
+	"github.com/docker/cli/internal/test"
+	"github.com/docker/docker/api/types"
+	"github.com/docker/docker/errdefs"
+	"gotest.tools/v3/assert"
+)
+
+func TestRemoveForce(t *testing.T) {
+	var removed []string
+
+	cli := test.NewFakeCli(&fakeClient{
+		containerRemoveFunc: func(ctx context.Context, container string, options types.ContainerRemoveOptions) error {
+			removed = append(removed, container)
+			if container == "nosuchcontainer" {
+				return errdefs.NotFound(fmt.Errorf("Error: No such container: " + container))
+			}
+			return nil
+		},
+		Version: "1.36",
+	})
+	cmd := NewRmCommand(cli)
+	cmd.SetOut(ioutil.Discard)
+
+	t.Run("without force", func(t *testing.T) {
+		cmd.SetArgs([]string{"nosuchcontainer", "mycontainer"})
+		removed = []string{}
+		assert.ErrorContains(t, cmd.Execute(), "No such container")
+		sort.Strings(removed)
+		assert.DeepEqual(t, removed, []string{"mycontainer", "nosuchcontainer"})
+	})
+	t.Run("with force", func(t *testing.T) {
+		cmd.SetArgs([]string{"--force", "nosuchcontainer", "mycontainer"})
+		removed = []string{}
+		assert.NilError(t, cmd.Execute())
+		sort.Strings(removed)
+		assert.DeepEqual(t, removed, []string{"mycontainer", "nosuchcontainer"})
+	})
+}