The Kings spotted the Red Wings an early 1-0 lead before scoring the game's next four goals in a 4-1 win at Little Caesars Arena in Detroit.
Anze Kopitar scored twice for Los Angeles, which won its second straight after losing seven of its previous eight games.
Dustin Brown and Adrian Kempe had the other goals for LA, which got 23 saves from Jonathan Quick.
Mike Green had the lone goal for the Red Wings in the first period.
Jimmy Howard gave up four goals on 36 shots for Detroit, which has dropped five in-a-row and seven of its last nine games.