Wyoming was without guard Josh Adams, who was issued a one-game suspension by the Mountain West Conference for repeated violations of the conference sportsmanship policy.
After being tied at halftime, 38-38, Boise State opened the second half on a 9-2 run to take control. Jackson hit three 3-pointers over a four-minute span that left the Broncos in front, 55-47 with 14:45 remaining.
Mikey Thompson made 4 of 4 from the line in the final 1:26 and converted a 3-point play with 34 seconds left to make it 79-68.
Thompson finished with 15 points and dished out five assists for Boise State (15-5, 6-1), and Anthony Drmic added 15 points.