Zetterberg scored on a power play 7:57 in the contest and the Red Wings never looked back.
Brad Stuart added a goal less than 2 minutes later and Jiri Hudler also scored as the Red Wings broke the previous mark for consecutive home wins held by the 1975-76 Philadelphia Flyers and the 1929-30 Boston Bruins.
Detroit hasn't lost at Joe Louis Arena since a Nov. 3 setback against Calgary.
Joey MacDonald turned aside 20 shots and saw his shutout spoiled with just 32.8 seconds remaining.
2014: The Year in Music [PHOTOS]