Michigan (22-14-3), the No. 2 seed in the region, will join Notre Dame, Minnesota-Duluth and the Ohio State-Denver winner in the Frozen Four April 5-7 in St. Paul, Minn.
Michigan will play Notre Dame (27-9-2) in one national semifinal on Thursday, April 5, at 6 or 9:30 p.m., at the Xcel Energy Center. The national championship game is April 7 at 7:30 p.m.
The semifinals are on ESPN2 and the championship game is on ESPN.
This will be Michigan's first appearance in the Frozen Four since 2011. The Wolverines have won the national championship nine times, most recently in 1996 and 1998.
Jake Slaker made a nifty move in front of the Boston University net and buried a low shot past goalie Jake Oettinger, giving Michigan a 4-3 lead at 6:27 of the third period.
Nicholas Boka, on a nice feed from Dexter Dancs, gave the Wolverines a two-goal cushion at 16:18 of the third.
Nick Pastujov blocked a shot and sent the puck the length of the ice for an empty-net goal at 18:18 to conclude the scoring.
Quinn Hughes got the Wolverines on the board first, at 5:12 of the first period, with Michael Pastujov and Jack Becker assisting. Tony Calderone followed with a power-play tally at 15:21 of the first, after Boston's Jordan Greenway got the equalizer at 12:26.
Brendan Warren gave the Wolverines a 3-1 lead, assisted by Josh Norris and Slaker, at 1:57 of the second.
Hayden Lavigne made 24 saves for the Wolverines.
Boston University's season ends at 22-14-4.
Michigan defeated Northeastern 3-2 on Saturday night in the regional semifinals to advance to Sunday's final.