Pavelski made it 5-0 when he scored on a redirection of Miro Heiskanen's wrist shot from the point.
"What an accomplishment and what an appropriate goal for him to score," Stars coach Peter DeBoer said. "If you are going to have a traditional Joe Pavelski goal, that's what it would look like."
Jamie Benn redirected a shot from Colin Miller to make it 6-0 at 14:19.
David Perron scored off a feed from Dylan Larkin at 16:50 for the 6-1 final.
"I think, top to bottom, this is a game that everyone on our team would like back," Red Wings forward Andrew Copp said. "We've been doing a better job lately of starting games well, but this wasn't one of those nights."
NOTES:Pavelski is the fifth player selected in the seventh round of the NHL Draft or later to reach 1,000 points, joining Doug Gilmour (1,414), Luc Robitaille (1,394), Theo Fleury (1,088) and Dave Taylor (1,069). … Heiskanen's two assists give him 71 points (11 goals, 60 assists) this season, tying Sergei Zubov's franchise record for points for a defenseman. … It was Robertson's 33rd multipoint games this season, one shy of Dino Ciccarelli's franchise record set in 1981-82. … Larkin (32 goals, 47 assists) needs one point in the final two games for Detroit's first 80-point season since Henrik Zetterberg in 2010-11 (24 goals, 56 assists).