diff --git a/cmd/compose/logs.go b/cmd/compose/logs.go
index 4f54acf23a4..b89b6dec38e 100644
--- a/cmd/compose/logs.go
+++ b/cmd/compose/logs.go
@@ -20,10 +20,9 @@ import (
 	"context"
 	"os"
 
-	"github.com/docker/compose/v2/cmd/formatter"
-
 	"github.com/spf13/cobra"
 
+	"github.com/docker/compose/v2/cmd/formatter"
 	"github.com/docker/compose/v2/pkg/api"
 )
 
@@ -67,7 +66,7 @@ func runLogs(ctx context.Context, backend api.Service, opts logsOptions, service
 	if err != nil {
 		return err
 	}
-	consumer := formatter.NewLogConsumer(ctx, os.Stdout, os.Stderr, !opts.noColor, !opts.noPrefix)
+	consumer := formatter.NewLogConsumer(ctx, os.Stdout, os.Stderr, !opts.noColor, !opts.noPrefix, false)
 	return backend.Logs(ctx, name, consumer, api.LogOptions{
 		Project:    project,
 		Services:   services,
diff --git a/cmd/compose/up.go b/cmd/compose/up.go
index eae6b3d1511..3d35c7238da 100644
--- a/cmd/compose/up.go
+++ b/cmd/compose/up.go
@@ -49,6 +49,7 @@ type upOptions struct {
 	noPrefix           bool
 	attachDependencies bool
 	attach             []string
+	timestamp          bool
 	wait               bool
 }
 
@@ -126,6 +127,7 @@ func upCommand(p *projectOptions, backend api.Service) *cobra.Command {
 	flags.BoolVar(&up.cascadeStop, "abort-on-container-exit", false, "Stops all containers if any container was stopped. Incompatible with -d")
 	flags.StringVar(&up.exitCodeFrom, "exit-code-from", "", "Return the exit code of the selected service container. Implies --abort-on-container-exit")
 	flags.IntVarP(&create.timeout, "timeout", "t", 10, "Use this timeout in seconds for container shutdown when attached or when containers are already running.")
+	flags.BoolVar(&up.timestamp, "timestamp", false, "Show timestamps.")
 	flags.BoolVar(&up.noDeps, "no-deps", false, "Don't start linked services.")
 	flags.BoolVar(&create.recreateDeps, "always-recreate-deps", false, "Recreate dependent containers. Incompatible with --no-recreate.")
 	flags.BoolVarP(&create.noInherit, "renew-anon-volumes", "V", false, "Recreate anonymous volumes instead of retrieving data from the previous containers.")
@@ -176,7 +178,7 @@ func runUp(ctx context.Context, backend api.Service, createOptions createOptions
 
 	var consumer api.LogConsumer
 	if !upOptions.Detach {
-		consumer = formatter.NewLogConsumer(ctx, os.Stdout, os.Stderr, !upOptions.noColor, !upOptions.noPrefix)
+		consumer = formatter.NewLogConsumer(ctx, os.Stdout, os.Stderr, !upOptions.noColor, !upOptions.noPrefix, upOptions.timestamp)
 	}
 
 	attachTo := services
diff --git a/cmd/formatter/logs.go b/cmd/formatter/logs.go
index 715a9ddaf98..836c877d291 100644
--- a/cmd/formatter/logs.go
+++ b/cmd/formatter/logs.go
@@ -23,8 +23,10 @@ import (
 	"strconv"
 	"strings"
 	"sync"
+	"time"
 
 	"github.com/docker/compose/v2/pkg/api"
+	"github.com/docker/docker/pkg/jsonmessage"
 )
 
 // LogConsumer consume logs from services and format them
@@ -36,10 +38,11 @@ type logConsumer struct {
 	stderr     io.Writer
 	color      bool
 	prefix     bool
+	timestamp  bool
 }
 
 // NewLogConsumer creates a new LogConsumer
-func NewLogConsumer(ctx context.Context, stdout, stderr io.Writer, color bool, prefix bool) api.LogConsumer {
+func NewLogConsumer(ctx context.Context, stdout, stderr io.Writer, color, prefix, timestamp bool) api.LogConsumer {
 	return &logConsumer{
 		ctx:        ctx,
 		presenters: sync.Map{},
@@ -48,6 +51,7 @@ func NewLogConsumer(ctx context.Context, stdout, stderr io.Writer, color bool, p
 		stderr:     stderr,
 		color:      color,
 		prefix:     prefix,
+		timestamp:  timestamp,
 	}
 }
 
@@ -99,8 +103,13 @@ func (l *logConsumer) write(w io.Writer, container, message string) {
 		return
 	}
 	p := l.getPresenter(container)
+	timestanp := time.Now().Format(jsonmessage.RFC3339NanoFixed)
 	for _, line := range strings.Split(message, "\n") {
-		fmt.Fprintf(w, "%s%s\n", p.prefix, line)
+		if l.timestamp {
+			fmt.Fprintf(w, "%s%s%s\n", p.prefix, timestanp, line)
+		} else {
+			fmt.Fprintf(w, "%s%s\n", p.prefix, line)
+		}
 	}
 }
 
diff --git a/docs/reference/compose_up.md b/docs/reference/compose_up.md
index 2a883c530fd..4e226d6708a 100644
--- a/docs/reference/compose_up.md
+++ b/docs/reference/compose_up.md
@@ -27,6 +27,7 @@ Create and start containers
 | `-V`, `--renew-anon-volumes` |  |  | Recreate anonymous volumes instead of retrieving data from the previous containers. |
 | `--scale` | `stringArray` |  | Scale SERVICE to NUM instances. Overrides the `scale` setting in the Compose file if present. |
 | `-t`, `--timeout` | `int` | `10` | Use this timeout in seconds for container shutdown when attached or when containers are already running. |
+| `--timestamp` |  |  | Show timestamps. |
 | `--wait` |  |  | Wait for services to be running\|healthy. Implies detached mode. |
 
 
diff --git a/docs/reference/docker_compose_up.yaml b/docs/reference/docker_compose_up.yaml
index cbcc4c5881f..364567f1f04 100644
--- a/docs/reference/docker_compose_up.yaml
+++ b/docs/reference/docker_compose_up.yaml
@@ -230,6 +230,16 @@ options:
       experimentalcli: false
       kubernetes: false
       swarm: false
+    - option: timestamp
+      value_type: bool
+      default_value: "false"
+      description: Show timestamps.
+      deprecated: false
+      hidden: false
+      experimental: false
+      experimentalcli: false
+      kubernetes: false
+      swarm: false
     - option: wait
       value_type: bool
       default_value: "false"