The Cougars locked up a bid to the Dec. 27 game in San Francisco earlier this year, and bowl officials selected the Huskies as the Pac-12 participant Sunday night.
Washington went 8-4 this season before coach Steve Sarkisian left to take the job at Southern California. The Huskies hired Chris Petersen away from Boise State on Friday, but quarterbacks coach and former Washington standout Marques Tuiasosopo will be the interim head coach for the bowl game.
BYU also finished 8-4 and is headed to a bowl for the ninth straight season under coach Bronco Mendenhall. The Cougars are 6-2 in those games, including winning the last four.
This is expected to be the final Fight Hunger Bowl played at the San Francisco Giants' AT&T Park. The bowl is moving to the San Francisco 49ers' new stadium in Santa Clara next year.