The SAT exam scheduled for Saturday on campus is also canceled, officials said. An art exhibit opening reception scheduled for Sunday has also been canceled.
Savannah State had about 3,400 students last year.
East Georgia State College is closing its Statesboro and Swainsboro campuses Thursday afternoon. They will remain closed through Friday. The college had about 2,000 students last fall.
Hurricane watches and tropical storm warnings have already been issued along the Georgia coast.