The Sky Racing team's Wiggins had held the yellow jersey, signifying the overall lead, since the Stage 7. He rolled down the Champs Elysees among the peloton 9 seconds behind final stage winner and teammate Mark Cavendish.
Wiggins' overall margin of victory was 3 minutes, 21 seconds over fellow Briton Christopher Froome. Wiggins finished 54th in the 76-mile final stage from Rambouillet to Paris, while Froome came in 58th.
Cavendish, meanwhile, won the final stage for a fourth time with a time of 3 hours, 8 minutes, 7 seconds -- his third stage victory in the 2012 Tour.
Italy's Vincenzo Nibali was third overall, finishing 6:19 behind the champion.
Defending champion Cadel Evans of Australia came in seventh overall, 15:49 off the pace.