The Seminoles remained unbeaten in three games, pulling away in the second half while shooting 57 percent as a team.
Stetson (2-1) was within three points with 2:20 to go in the first half, but Florida State closed the period on a 9-4 run for a 42-34 advantage at the break.
Deividas Dulkys added 16 points off the bench for the Seminoles and Bernard James had 15 points to go with 11 rebounds.
Joel Naburgs scored 14 points for the Hatters, who had only nine free throw chances and made six of them.
2014: The Year in Music [PHOTOS]