Stauskas provided 20 points and Burke chipped in with 18 and 11 assists for the Wolverines (6-0), whose win came as part of the ACC/Big Ten Challenge series.
Tim Hardaway Jr. (16 points) and Glenn Robinson III (11 with seven rebounds) also reached double figures for Michigan.
The Wolfpack (4-2) were paced by T.J. Warren with 18 points.
C.J. Leslie chipped in with 16 points and 10 boards for North Carolina State, which fell for the second time in three contests.