Barnicoat is a surname. Notable people with the surname include:
Ben Barnicoat (born 1996), British racing driver Constance Barnicoat (1872–1922), New Zealand secretary, interpreter, mountaineer and journalist John Barnicoat (1814–1905), New Zealand civil engineer, surveyor and politician Will Barnicoat (born 2003), British track and field athlete and cross country runner William Barnicoat (born 1932), English cricketer
See also S. H. Barnicoat Monuments in Quincy, Massachusetts