Anstee is a surname, and may refer to
Margaret Anstee (1926–2016), United Nations Under-Secretary General (in 1987) Nick Anstee (born 1958), 682nd Lord Mayor of the City of London, from 2009 to 2010 Rae Anstee (born 1932), Australian nurse Sean Anstee (born 1987), English politician
See also Anstey (surname) Ansty (disambiguation) Anstie