Frisina, who stands 5-foot-5, made the winning kick after Washington had taken the lead for the first time on Travis Coons' 38-yard field goal. Boise State (11-2) sealed the win when Jeremy Ioane intercepted Keith Price's pass as the Huskies (7-6) neared midfield.
It was the third Las Vegas Bowl win in a row for the Broncos, who had to overcome a 205-yard rushing game by Bishop Sankey against a normally stingy Boise State defense.
Frisina was only 12 for 17 on field goals coming into the game, but kicked three of them.