Moore, the winningest starting quarterback in college football history, was nearly flawless and the Broncos' defense had no problem bottling up the punchless Lobos.
Moore was 28 of 33 for 313 yards before heading for the sideline midway through the third quarter. His three touchdowns give him 41 for the season, setting a new school single-season record. He also set a new school record for completions in a season with 300.
Martin rushed for 110 yards on 19 carries, and his 40-yard touchdown run in the third quarter gave the Broncos a 38-0 lead.
The victory gives the Broncos (11-1, 6-1) their second straight season with a single loss and looks to clear the way for another trip to the MAACO Bowl in Las Vegas, where they dismantled No. 20 Utah a year ago 26-3.
Boise State's only loss came Nov. 12 against TCU.
New Mexico (1-11, 1-6) managed only 197 total yards on offense and the offense only crossed midfield twice.