VMI (12-9, 5-3 Big South) opened the game on a 14-4 run, and closed the half on a 12-3 spurt for a 56-41 halftime lead.
Presbyterian (4-19, 0-8) cut a big second-half deficit to 90-80 with 5:49 left after a 20-3 run. But Glasgow and Peterson combined to score 14 of the final 17 points for VMI to pull away in the last 5 minutes of the game.
The Keydets shot 50 percent from the field and made 15 of 32 3-point attempts. Peterson led VMI with a career-high seven 3-pointers. D.J. Covington added 17 points and 13 rebounds while Brian Brown had 13 points.