diff --git a/tools/asynq/cmd/task.go b/tools/asynq/cmd/task.go
index 45ed6e0..6c7d0a6 100644
--- a/tools/asynq/cmd/task.go
+++ b/tools/asynq/cmd/task.go
@@ -520,6 +520,8 @@ func taskDeleteAll(cmd *cobra.Command, args []string) {
 		n, err = i.DeleteAllRetryTasks(qname)
 	case "archived":
 		n, err = i.DeleteAllArchivedTasks(qname)
+	case "completed":
+		n, err = i.DeleteAllCompletedTasks(qname)
 	default:
 		fmt.Printf("error: unsupported state %q\n", state)
 		os.Exit(1)