Brigitte Ardossi had 15 points and five steals for the Yellow Jackets (19-5, 5-3 Atlantic Coast Conference). Georgia Tech led 48-31 with 15:27 left before Maryland rallied.
"I really proud of our effort today, especially on the defensive end," Georgia Tech coach MaChelle Joseph said. "Any time you hold a Maryland team to 60 points on the road is a good thing. Alex made some very aggressive plays throughout the game and her free throws were huge at the end."
The Terrapins (16-7, 3-5) took their only lead at 55-54 on a 3-pointer by Kim Rodgers with 4:50 to go. A jumper by Montgomery made it 57-55, but Lynetta Kizer tied it by making two foul shots with 31 seconds remaining.
After Montgomery's foul shots made it 61-59, Maryland's Anjale Barrett was fouled with 1 second left. She made the first but missed the second. Barrett led Maryland with 14 points.
Georgia Tech scored the game's first six points and held first-half leads of 13-2 and 23-7.