Armitstead is a surname. Notable people with the surname include:
George Armitstead (1847) (1847–1912), Latvian mayor
George Armitstead, 1st Baron Armitstead (1824–1915), British businessman, philanthropist and politician
John Armitstead (1868–1941), English clergyman
Lizzie Armitstead (born 1988), English cyclist
William Armitstead (1833–1907), English cricketer
William Martin Armistead (1873–1955), American businessman