HMS Greenwich was a 54-gun fourth-rate ship of the line of the Royal Navy, built by Christopher Pett at Woolwich Dockyard and launched in 1666.
Greenwich was rebuilt at Portsmouth Dockyard in 1699 as a fourth-rate of 46-54 guns. She fought at the action of August 1702 as part of a squadron under Admiral John Benbow, but hung back from the engagement. As a result, her Captain Cooper Wade was tried and convicted of cowardice and shot. On 16 April 1724 she was ordered to be taken to pieces at Chatham, and rebuilt as a 50-gun fourth-rate to the dimensions of the 1719 Establishment, relaunching on 15 February 1730.
On 20 October 1744, whilst preparing to come alongside the hulk , they were struck by hurricane-force winds which caused severe damage to both vessels, which subsequently sank. From Greenwich, Captain Allen and 85 others were drowned. His Majesty's ships , and were also lost in this incident.