The Twins were trailing 3-1 in the fifth when the Twins put Josmil Pinto (3-for-4, RBI) and Ryan Doumit aboard with two outs and Plouffe knocked them both in with a single to center.
Then in the seventh, Brian Dozier drew a lead-off walk from Cory Rasmus (0-1), went to second on a fielder's choice, advanced to third on an Angels error and came home when Plouffe lofted a sac fly to right field for a 4-3 Twins lead.
Pedro Florimon went 2-for-3 with an RBI for Minnesota, which snapped a 10-game home losing streak.
Casey Fien (4-2) earned the decision and Glen Perkins secured the victory with his 33rd save.
Kole Calhoun provided three hits with an RBI for Los Angeles.
Campus cop fatally shoots Texas student during traffic stop
Puzzle-maker slips 'Murdoch Is Evil' into Rupert Murdoch's Sunday Telegraph