Quarterback Josh Nesbitt rushed 14 times for 61 yards and completed 4-of-5 passes for 55 yards before leaving the game with an injury for the Yellow Jackets (7-2, 4-2 ACC), who have won four of their last five games.
Georgia Tech beat Florida State for the first time since 1975.
Lucas Cox and Greg Smith each had a rushing TD for Georgia Tech, but Tech's freshman backup quarterback Jaybo Shaw had an interception on his only pass attempt and lost a fumble.
Christian Ponder completed 16-of-27 passes for 149 yards and a touchdown for the Seminoles (6-2, 3-2), whose four-game win streak came to an end. Ponder also ran for a TD and Jermaine Thomas rushed for 130 yards.