The Tigers (12-15, 5-9 Colonial Athletic) took a 47-46 lead on a putback by John Davis, Towson's fourth shot of the possession, with 44 seconds left. John Chealey missed for the Cougars (7-20, 2-12), forcing them to foul.
A.J. Astroth made a pair of free throws at 32 seconds and Byron Hawkins made two with 20 seconds left but both times Charleston scored quickly. It wasn't until after Four McGlynn hit two at 13 seconds that the Cougars missed with Astroth corralling the rebound and running out the clock.
Chealey led Charleston with 13 points.