It's Michigan's third win in New York City this season. The Wolverines also won the NIT Season Tip-Off during Thanksgiving week, defeating Pittsburgh and Kansas State at Madison Square Garden.
The Mountaineers dropped to 4-5 and have lost back-to-back games after being upset by Duquesne four days ago 60-56.
The turning point: Michigan raced out of the gate, taking a 13-2 lead less than three minutes into the game, and led by as many as 17 in the first half. West Virginia got back in it with a 10-0 run to make it 32-27 with 4:22 left, but Michigan extended its advantage to 43-32 at halftime.
The Wolverines led comfortably for much of the second half, but the Mountaineers had another rally in them. Trailing 65-47 with under nine minutes to play, West Virginia climbed to within seven, 71-64, on a Terry Henderson trey with 4:31 left. But Tim Hardaway Jr. got to the foul line on the next possession and drained two free throws, and Michigan closed out the game from there.
Player of the game: Sophomore guard Trey Burke had a season-high 27 points for Michigan. Burke was practically unstoppable, making 12 of 16 shots from the field. Plus, he had eight assists and five rebounds. Hardaway Jr. had a big game too, with 25 points.
Henderson, a freshman guard, had a career-high 23 points for West Virginia.
Stat of the game: Michigan continues to shoot the ball exceptionally well. Entering Saturday night's game, the Wolverines were ranked seventh in the country, shooting 50.7 percent from the field. They were even better against West Virginia, making 56 percent (28-for-50).
West Virginia, on the other hand, was ranked No. 310 in field goal percentage (39 percent) and shot even worse Saturday night -- 20-for-52 (38.5 percent).
What's next: Michigan will host Eastern Michigan on Thursday at 8:30 p.m. ET. West Virginia hosts Oakland on Wednesday at 9 p.m. ET.