Djibril Thiam added 12 points and 12 rebounds for the Cowboys (6-6), who ran their win streak to three.
Jeron Trotman had 15 points and 12 rebounds for the Gentlemen (0-13), who concluded a dismal eight-game road trip by committing 25 turnovers.
The Gentlemen drew within 43-30 on a layup by Trotman early in the second half, but Wyoming then scored six straight to make it 50-30.
A free throw by Centenary's Aaron Harwell narrowed the margin to 55-41 with 6:39 remaining, but Wyoming closed on a 21-8 roll.
Jackson converted two steals into dunks midway through the first half during a 15-2 spurt that snapped a 5-5 tie and put the Cowboys in control.