HMS Hannibal was a 74-gun third-rate ship of the line of the Royal Navy, launched on 15 April 1786, named after the Carthaginian general Hannibal. She is best known for having taken part in the Algeciras Campaign, and for having run aground during the First Battle of Algeciras on 5 July 1801, which resulted in her capture. She then served in the French Navy until she was broken up in 1824.

The Algeciras campaign was an attempt by a French naval squadron from Toulon under Contre-Admiral Charles Linois to join a French and Spanish fleet at Cadiz during June and July 1801 during the French Revolutionary Wars prior to a planned operation against either Egypt or Portugal. To reach Cadiz, the French squadron had to pass the British naval base at Gibraltar, which housed the squadron tasked with blockading Cadiz. The British squadron was commanded by Rear-Admiral Sir James Saumarez. After a successful voyage between Toulon and Gibraltar, in which a number of British vessels were captured, the squadron anchored at Algeciras, a fortified port city within sight of Gibraltar across Gibraltar Bay. On 6 July 1801, Saumarez attacked the anchored squadron, in the First Battle of Algeciras. Although severe damage was inflicted on all three French ships of the line, none could be successfully captured and the British were forced to withdraw without HMS Hannibal, which had grounded and was subsequently seized by the French.