The Warriors (4-2, 2-0 WAC) took the lead for good with a last-minute touchdown drive just before halftime, then padded it with a 35-point second half.
Moniz, the nation's leader in passing and total offense, threw for 376 yards as Hawaii racked up 472 yards of offense.
Fresno State (3-2, 1-1) got 211 yards and two touchdowns passing from Ryan Colburn, who was intercepted three times and sacked three times.
Salas finished with nine catches for 148 yards and two touchdowns. He also scored on a fumble recovery in the end zone on Hawaii's opening drive of the third quarter.
Green rushed for 96 yards on 13 carries.