Backup Darcy Kuemper stopped 24 shots for the Kings for his eighth career shutout and first since Jan. 21, 2016, with Minnesota.
The Kings scored three goals in the third period to put away Florida and end a four-game losing streak. All those losses came at home after the Kings went 11-2-2 in its first 15 games.
The Panthers struggled on the power play as their two-game winning streak was halted. Florida had 14 shots in the period but couldn't get one past Kuemper.
Neither Brown nor Anze Kopitar — both on the Kings' top line — had a shot on goal through the first two periods.