Mikey Thompson scored 19 points and Derrick Marks added 14 points for the Broncos (6-1), who won at No. 11 Creighton earlier in the week. Boise State's only loss was by four points at No. 13 Michigan State last month.
Boise State hit 15 3-pointers, led by Drmic's five and Thompson's 4-for-4 performance. The Broncos made 54 percent from behind the arc and 53 percent overall.
Clarence Trent scored 12 points and Deshaun Sunderhaus and D'Vonne Pickett Jr. scored 11 apiece for the Redhawks (2-3), who led 2-0 before Boise State used a 10-0 run to take control.
Seattle's 10-game home winning streak came to an end. The Redhawks' last loss at home was Jan. 13 to Utah Valley.