The Bulldogs (10-4, 1-0 Mountain West) are now 2-17 at UNLV - with their other win coming in 2013.
Jalen Poyser hit a 3-pointer from the wing to give UNLV a 61-60 lead - its first since 40-39 - and he made another 3 about a minute later for a four-point lead. Cezar Guerrero answered with a runner in the lane and Jones had a putback to tie it at 64-all.
Poyser made a reverse layup to give UNLV a lead, but Cullen Russo made 1 of 2 free throws and Jones tipped in the miss for a 67-66 Fresno State lead.
Jones made two free throws with 11 seconds left and UNLV had a 3 blocked before the buzzer.
Poyser finished with 11 points for UNLV (9-5, 0-1).