Simuel Frazier added 12 points and six assists to help Howard (3-8) overcome a first-half deficit.
Trailing at halftime 32-25, Thompson's steal and fast-break layup to begin the second half sparked a 15-1 run, helping Howard take a 40-33 lead with 12:06 left to play. Thompson capped the run with a three-point play.
With 44 seconds left to play and down by three, Liberty's (1-9) John Caleb Sanders was fouled on a 3-point shot and converted just two of three free-throws to cut the deficit to one, 54-53.
Howard answered making 6 of 8 free throws down the stretch to seal the victory.
Liberty shot just 24.1 percent (7 for 29) in the second half.
Davon Marshall led the Flames with 13 points.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.
|South Carolina State||12-4||1||19-15|
|North Carolina Central||7-9||6||13-19|
|North Carolina A&T||7-9||6||10-22|