Captain Alexander Robert Kerr (1770 – 4 August 1831) was a Royal Navy officer of the late eighteenth and early nineteenth century who is best known for his service as captain of the ship of the line HMS Revenge at the Battle of Basque Roads in 1809 and his subsequent involvement in the court-martial of Admiral Lord Gambier which followed. He had earlier in his career fought and been badly wounded at the action of 31 July 1793 off the coast of New Jersey.