Stauskas drained four 3-pointers, while Burke added five assists for Michigan (7-0), which triumphed in its first true road game of the season.
Jordan Morgan added a double-double of 10 points and 10 rebounds for the Wolverines. Michigan's leading scorer, Tim Hardaway Jr., was held to just nine points.
Bradley (5-2) was led by Walt Lemon Jr. with 15 points. Tyshon Pickett, Will Egolf, Jordan Prosser and Jalen Crawford also reached double figures in scoring for the Braves.
Celebrity Families of 2014 [PHOTOS]