Moore went 14-of-16 passing for 231 yards and Martin rushed eight times for 68 yards for the Broncos (6-0, 2-0 WAC), who improved the nation's longest winning streak to 20 games. Martin also caught three passes for 53 yards.
Titus Young bolstered Boise's offense by running for a score and hauling down seven passes for 105 yards and a touchdown.
The Spartans (1-6, 0-2) were led by Jordan La Secla, who completed 7-of-16 passes for 74 yards and an interception.
Celebrity Families of 2014 [PHOTOS]