Fleet and Family Support Center is located at Bldg. 1 – Massey Avenue Mayport, FL 32228, , . Fleet and Family Support Center can be reached by their main phone number at (904) 270-6600. Alternatively, you can reach Fleet and Family Support Center by phone at (904) 270-5094. You can also reach Fleet and Family Support Center by phone at (904) 270-3364. Visit the Fleet and Family Support Center website by clicking here.