The Yellow Jackets (1-0) took a 78-37 lead on Zach Peacock’s runner with 7:10 remaining.
Jamal Durham scored 11 points to lead Winston-Salem State (0-1).
The Rams hit just 26.2 percent of 65 shots from the field, and they were 7-for-23 on free throws.
Lawal, a 6-foot-9 sophomore, matched his career high of 17, set in last year’s loss at Indiana, in the first half.
Georgia Tech, coming off a 15-17 season, need lots of production from Lawal and Miller, the team’s most experienced returning starters.
Senior captain D’Andre Bell faces season-ending spinal surgery next month, and academic difficulty will sideline Lewis Clinch until next semester.