Matt Holliday drew a leadoff walk to start the winning rally. He advanced to third on Matt Adams’ single. After Peter Bourjos ran for Holliday, Jhonny Peralta walked to load the bases. Hoover then plunked Jay to force in Bourjos with the winning run.
Pat Neshek pitched one inning of scoreless relief as the Cardinals won for the fifth time in six games and remained 2 1/2 games behind Milwaukee in the NL Central.
The Reds have lost four in a row.
Jay scored the tying run in the eighth on pinch-hitter Daniel Descalso’s RBI double.