Dean Talafous scored on the first shot and Ulf Nilsson tallied twice as New York rolled in Bloomington, Minn.
It took Talafous only 25 seconds to give the Rangers the lead when he blasted a slap shot from the faceoff circle through the legs of North Stars' goalie Gilles Meloche.
Minnesota, which had a 10-game unbeaten string at home snapped, tied the game at 3:18 when Al MacAdam set up Mike Eaves from the right side. Eaves snapped a 15-footer past Steve Baker, the New York goalie who was playing his first NHL game of the season.
The Rangers roared back with five strait goals, ignited by Don Maloney's power-play goal at 6:50 while Meloche was down after stopping a shot by Mike Allison.
Nilsson gave the Rangers a 3-1 lead midway through the first period when he directed Ron Duguay's shot past Meloche. Nilsson scored again at 4:50 of the second period by deflecting in a shot by Carol Vadnais.
New York increased its lead to 5-1 on Dugauy's 25-foot wrist shot at 9:31 and Nick Fotiu made it 6-1 on a deflection five minutes later.
Minnesota came back on goals by Kent-Erik Andersson late in the second period and Steve Christoff in the third period before Ron Greshner rounded out the scoring for New York at 14:46.