Fulwar is a given name and a surname. Notable people with the name include:
Fulwar Craven, 4th Baron Craven (died 1764), English landowner and sportsman Fulwar Skipwith, 2nd Baronet (1676–1728), English landowner, Member of Parliament for Coventry Fulwar Skipwith (1765–1839), American diplomat and politician Thomas Fulwar (died 1667), Irish Anglican priest
See also Fuller (surname)