Sir Henry Garraway (died July 1646) was an English merchant who was Lord Mayor of London in 1639. Garaway was the son of Sir William Garaway, farmer of the customs. Garraway was a city of London merchant and a member of the Worshipful Company of Drapers. He was one of the Court Assistants from 1614 to 1628 and a member of the committee of the East India Company from 1614 to 1643.