After a year and a half at Charleston, Gibson won a scholarship to Juilliard's Drama Division (Group 14: 1981–1985), where he graduated with a Bachelor of Fine Arts degree in 1985.
Efter halvandet år på Charleston, vandt Gibson et legat til Juilliards Drama Division ( Gruppe 14: 1981-1985), , hvor han dimitterede med en Bachelor of Fine Arts i 1985.