diff --git a/pkg/compose/down.go b/pkg/compose/down.go
index bd716978a..03f456a6d 100644
--- a/pkg/compose/down.go
+++ b/pkg/compose/down.go
@@ -306,6 +306,10 @@ func (s *composeService) stopContainer(ctx context.Context, w progress.Writer, s
 		for _, hook := range service.PreStop {
 			err := s.runHook(ctx, ctr, *service, hook, nil)
 			if err != nil {
+				// Ignore errors indicating that some containers were already stopped or removed.
+				if cerrdefs.IsNotFound(err) || cerrdefs.IsConflict(err) {
+					return nil
+				}
 				return err
 			}
 		}
diff --git a/pkg/e2e/fixtures/hooks/compose.yaml b/pkg/e2e/fixtures/hooks/compose.yaml
new file mode 100644
index 000000000..b45a65df0
--- /dev/null
+++ b/pkg/e2e/fixtures/hooks/compose.yaml
@@ -0,0 +1,14 @@
+services:
+  sample:
+    image: nginx
+    volumes:
+      - data:/data
+    pre_stop:
+      - command: sh -c 'echo "In the pre-stop" >> /data/log.txt'
+  test:
+    image: nginx
+    post_start:
+      - command: sh -c 'echo env'
+volumes:
+  data:
+    name: sample-data
\ No newline at end of file
diff --git a/pkg/e2e/fixtures/hooks/poststart/compose-error.yaml b/pkg/e2e/fixtures/hooks/poststart/compose-error.yaml
new file mode 100644
index 000000000..eaee936b8
--- /dev/null
+++ b/pkg/e2e/fixtures/hooks/poststart/compose-error.yaml
@@ -0,0 +1,6 @@
+services:
+
+  test:
+    image: alpine
+    post_start:
+      - command: sh -c 'echo env'
diff --git a/pkg/e2e/fixtures/hooks/poststart/compose-success.yaml b/pkg/e2e/fixtures/hooks/poststart/compose-success.yaml
new file mode 100644
index 000000000..727794588
--- /dev/null
+++ b/pkg/e2e/fixtures/hooks/poststart/compose-success.yaml
@@ -0,0 +1,5 @@
+services:
+  test:
+    image: nginx
+    post_start:
+      - command: sh -c 'echo env'
diff --git a/pkg/e2e/fixtures/hooks/prestop/compose-error.yaml b/pkg/e2e/fixtures/hooks/prestop/compose-error.yaml
new file mode 100644
index 000000000..1beb6c7e5
--- /dev/null
+++ b/pkg/e2e/fixtures/hooks/prestop/compose-error.yaml
@@ -0,0 +1,10 @@
+services:
+  sample:
+    image: nginx
+    volumes:
+      - data:/data
+    pre_stop:
+      - command: sh -c 'command in error'
+volumes:
+  data:
+    name: sample-data
\ No newline at end of file
diff --git a/pkg/e2e/fixtures/hooks/prestop/compose-success.yaml b/pkg/e2e/fixtures/hooks/prestop/compose-success.yaml
new file mode 100644
index 000000000..0d8058211
--- /dev/null
+++ b/pkg/e2e/fixtures/hooks/prestop/compose-success.yaml
@@ -0,0 +1,10 @@
+services:
+  sample:
+    image: nginx
+    volumes:
+      - data:/data
+    pre_stop:
+      - command: sh -c 'echo "In the pre-stop" >> /data/log.txt'
+volumes:
+  data:
+    name: sample-data
\ No newline at end of file
diff --git a/pkg/e2e/hooks_test.go b/pkg/e2e/hooks_test.go
new file mode 100644
index 000000000..df60a207b
--- /dev/null
+++ b/pkg/e2e/hooks_test.go
@@ -0,0 +1,110 @@
+/*
+Copyright 2023 Docker Compose CLI authors
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+	http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+*/
+package e2e
+
+import (
+	"strings"
+	"testing"
+
+	"gotest.tools/v3/assert"
+	"gotest.tools/v3/icmd"
+)
+
+func TestPostStartHookInError(t *testing.T) {
+	c := NewParallelCLI(t)
+	const projectName = "hooks-post-start-failure"
+
+	t.Cleanup(func() {
+		c.RunDockerComposeCmd(t, "--project-name", projectName, "down", "-v", "--remove-orphans", "-t", "0")
+	})
+
+	res := c.RunDockerComposeCmdNoCheck(t, "-f", "fixtures/hooks/poststart/compose-error.yaml", "--project-name", projectName, "up", "-d")
+	res.Assert(t, icmd.Expected{ExitCode: 1})
+	assert.Assert(t, strings.Contains(res.Combined(), "Error response from daemon: container"), res.Combined())
+	assert.Assert(t, strings.Contains(res.Combined(), "is not running"), res.Combined())
+}
+
+func TestPostStartHookSuccess(t *testing.T) {
+	c := NewParallelCLI(t)
+	const projectName = "hooks-post-start-success"
+
+	t.Cleanup(func() {
+		c.RunDockerComposeCmd(t, "--project-name", projectName, "down", "-v", "--remove-orphans", "-t", "0")
+	})
+
+	res := c.RunDockerComposeCmd(t, "-f", "fixtures/hooks/poststart/compose-success.yaml", "--project-name", projectName, "up", "-d")
+	res.Assert(t, icmd.Expected{ExitCode: 0})
+}
+
+func TestPreStopHookSuccess(t *testing.T) {
+	c := NewParallelCLI(t)
+	const projectName = "hooks-pre-stop-success"
+
+	t.Cleanup(func() {
+		c.RunDockerComposeCmd(t, "-f", "fixtures/hooks/prestop/compose-success.yaml", "--project-name", projectName, "down", "-v", "--remove-orphans", "-t", "0")
+	})
+
+	res := c.RunDockerComposeCmd(t, "-f", "fixtures/hooks/prestop/compose-success.yaml", "--project-name", projectName, "up", "-d")
+	res.Assert(t, icmd.Expected{ExitCode: 0})
+
+	res = c.RunDockerComposeCmd(t, "-f", "fixtures/hooks/prestop/compose-success.yaml", "--project-name", projectName, "down", "-v", "--remove-orphans", "-t", "0")
+	res.Assert(t, icmd.Expected{ExitCode: 0})
+}
+
+func TestPreStopHookInError(t *testing.T) {
+	c := NewParallelCLI(t)
+	const projectName = "hooks-pre-stop-failure"
+
+	t.Cleanup(func() {
+		c.RunDockerComposeCmd(t, "-f", "fixtures/hooks/prestop/compose-success.yaml", "--project-name", projectName, "down", "-v", "--remove-orphans", "-t", "0")
+	})
+
+	res := c.RunDockerComposeCmdNoCheck(t, "-f", "fixtures/hooks/prestop/compose-error.yaml", "--project-name", projectName, "up", "-d")
+	res.Assert(t, icmd.Expected{ExitCode: 0})
+
+	res = c.RunDockerComposeCmdNoCheck(t, "-f", "fixtures/hooks/prestop/compose-error.yaml", "--project-name", projectName, "down", "-v", "--remove-orphans", "-t", "0")
+	res.Assert(t, icmd.Expected{ExitCode: 1})
+	assert.Assert(t, strings.Contains(res.Combined(), "sample hook exited with status 127"))
+}
+
+func TestPreStopHookSuccessWithPreviousStop(t *testing.T) {
+	c := NewParallelCLI(t)
+	const projectName = "hooks-pre-stop-success-with-previous-stop"
+
+	t.Cleanup(func() {
+		res := c.RunDockerComposeCmd(t, "-f", "fixtures/hooks/compose.yaml", "--project-name", projectName, "down", "-v", "--remove-orphans", "-t", "0")
+		res.Assert(t, icmd.Expected{ExitCode: 0})
+	})
+
+	res := c.RunDockerComposeCmd(t, "-f", "fixtures/hooks/compose.yaml", "--project-name", projectName, "up", "-d")
+	res.Assert(t, icmd.Expected{ExitCode: 0})
+
+	res = c.RunDockerComposeCmd(t, "-f", "fixtures/hooks/compose.yaml", "--project-name", projectName, "stop", "sample")
+	res.Assert(t, icmd.Expected{ExitCode: 0})
+}
+
+func TestPostStartAndPreStopHook(t *testing.T) {
+	c := NewParallelCLI(t)
+	const projectName = "hooks-post-start-and-pre-stop"
+
+	t.Cleanup(func() {
+		res := c.RunDockerComposeCmd(t, "-f", "fixtures/hooks/compose.yaml", "--project-name", projectName, "down", "-v", "--remove-orphans", "-t", "0")
+		res.Assert(t, icmd.Expected{ExitCode: 0})
+	})
+
+	res := c.RunDockerComposeCmd(t, "-f", "fixtures/hooks/compose.yaml", "--project-name", projectName, "up", "-d")
+	res.Assert(t, icmd.Expected{ExitCode: 0})
+}