Bornand also made a 46-yard field goal to tie it at 27 with 3:37 left in the regulation as UNLV ended a 10-game losing streak to Fresno State.
The Rebels (2-5, 1-2 Mountain West) had a chance to win on the last play in regulation, but short kicker Jonathan Leiva missed a 26-yard field goal from the left hash wide right.
In overtime, the Bulldogs (3-4, 2-1) did not score on their opening drive. Brian Burrell found Marteze Waller in stride in the right side of the end zone, but Waller dropped it on the fourth-down play from the 18-yard line.
Burrell connected on 25 of 44 for 302 yards, three touchdowns, and two interceptions as Fresno State's three-game winning streak ended. Josh Harper had 183 yards receiving.
UNLV's Blake Decker finished 29 of 40 for 332 yards, a touchdown, and an interception.
After building a 17-0 advantage, the Rebels' next six drives ended in five punts, and a failed fake-punt attempt. On the seventh drive, Decker's four-yard run up the middle gave the Rebels temporary breathing room, 24-14 with 2 seconds left in the third.
The Bulldogs took the lead as Burrell passed to a wide-open Chad Olsen with 13:47 left in the game, and Waller's 13-yard rush through the middle on a 4th-and-inches with 7:21 to go gave the Bulldogs their first lead, 27-24. Fresno kicker Kody Kroening however missed the extra point after the touchdown.
The Rebels' previous win this season came against Colorado State, 13-12 on Sept. 6. In all other games, UNLV was outscored 220-88. Meanwhile, Fresno State outscored opponents in its last three games 115-53.