diff --git a/contrib/completion/bash/docker b/contrib/completion/bash/docker
index ee4b00c794..b948a63916 100644
--- a/contrib/completion/bash/docker
+++ b/contrib/completion/bash/docker
@@ -2576,7 +2576,6 @@ _docker_service_update() {
 		--log-driver
 		--log-opt
 		--mount
-		--name
 		--network
 		--publish -p
 		--replicas
@@ -2608,6 +2607,7 @@ _docker_service_update() {
 		options_with_args="$options_with_args
 			--container-label
 			--mode
+			--name
 		"
 
 		case "$prev" in
diff --git a/contrib/completion/zsh/_docker b/contrib/completion/zsh/_docker
index 5c6f26e729..99ef3e7480 100644
--- a/contrib/completion/zsh/_docker
+++ b/contrib/completion/zsh/_docker
@@ -1095,7 +1095,6 @@ __docker_service_subcommand() {
         "($help)--log-driver=[Logging driver for service]:logging driver:__docker_log_drivers"
         "($help)*--log-opt=[Logging driver options]:log driver options:__docker_log_options"
         "($help)*--mount=[Attach a mount to the service]:mount: "
-        "($help)--name=[Service name]:name: "
         "($help)*--network=[Network attachments]:network: "
         "($help)*"{-p=,--publish=}"[Publish a port as a node port]:port: "
         "($help)--replicas=[Number of tasks]:replicas: "
@@ -1123,6 +1122,7 @@ __docker_service_subcommand() {
                 $opts_create_update \
                 "($help)*--container-label=[Container labels]:label: " \
                 "($help)--mode=[Service Mode]:mode:(global replicated)" \
+                "($help)--name=[Service name]:name: " \
                 "($help -): :__docker_images" \
                 "($help -):command: _command_names -e" \
                 "($help -)*::arguments: _normal" && ret=0
diff --git a/docs/reference/commandline/service_update.md b/docs/reference/commandline/service_update.md
index 90b78a4541..c30e5e973e 100644
--- a/docs/reference/commandline/service_update.md
+++ b/docs/reference/commandline/service_update.md
@@ -42,7 +42,6 @@ Options:
       --log-opt value                    Logging driver options (default [])
       --mount-add value                  Add or update a mount on a service
       --mount-rm value                   Remove a mount by its target path (default [])
-      --name string                      Service name
       --publish-add value                Add or update a published port (default [])
       --publish-rm value                 Remove a published port by its target port (default [])
       --replicas value                   Number of tasks (default none)