Rear-Admiral Sir Alexander John Ball, 1st Baronet (Italian: Alessandro Giovanni Ball, 22 July 1757 - 25 October 1809) was a Royal Navy officer and colonial administrator who served as the Civil Commissioner of Malta. He was born in Ebworth Park in Sheepscombe, Gloucestershire. He was the fourth son of Robert and Mary (Dickinson) Ball and the younger brother of Ingram Ball.