St. Louis, MO – Alexander Steen scored the game-winner midway 1.
Matt D'Agostini scored the other goal for the Blues, who have gone 3-0-1 under Ken Hitchcock since he replaced a fired Payne Davis.
Brian Elliott turned aside 21-of-22 shots for the victors.
Justin Abdelkader scored the lone goal for the Red Wings, who had a four-game winning streak snapped.
Jimmy Howard stopped 35-of-37 shots for Detroit, which went 0-for-6 on the power play.