Greenwich Hospital may refer to:

• Greenwich Hospital, London, which was a home for retired Royal Navy sailors 1692–1869, operated by the Greenwich Hospital charitable foundation
• Greenwich District Hospital, a hospital in London from 1970 to 2001
• Trinity Hospital, a group of almshouses located east of Maritime Greenwich
• Memorial Hospital, Woolwich or Greenwich Memorial Hospital, a former general hospital now providing elderly and psychiatric care
• Miller General Hospital, situated in west Greenwich, London
• St Alfege's Hospital, situated in east Greenwich, London (later the site of Greenwich District Hospital)
• Greenwich Hospital (Connecticut), United States
• Greenwich Hospital, Sydney, Australia