Nicklas Lidstrom had the other goal for Detroit, which rallied from a two-goal deficit to win on back-to-back nights. Jimmy Howard stopped 29 shots for the Red Wings, who earned a 4-1 triumph at Nashville on Monday.
Matt D'Agostini and Alex Steen lit the lamp for St. Louis, which won its previous two games. Brian Elliott also made 29 saves for the Blues, who had a much different result at Joe Louis Arena than the last time they visited the Motor City.
St. Louis, which had won the previous three meetings, scored a 10-3 victory at Detroit on March 30.