Anstey is a surname. Notable people with the surname include:
Brendel Anstey, English footballer who played for Aston Villa and Leicester City
Bruce Anstey, New Zealand motorcycle racer
Chris Anstey, Australian basketball player
Christopher Anstey (1724–1805), English writer and poet
Edgar Anstey (1907-1987), English film maker
F. Anstey pseodonym for Thomas Anstey Guthrie (1856–1934), an English novelist and journalist who wrote comic novels under the pseudonym F. Anstey
Frank Anstey, Australian politician in both the Victorian and Commonwealth parliaments
George Alexander Anstey (1814–1895), South Australian viticulturist and Member of Parliament
Harry Anstey, Australian prospector and politician
Nigel Anstey, British geophysicist
Thomas Chisholm Anstey, British parliamentarian, lawyer and second Attorney General of Hong Kong
