Anne Simpkin Meredith (born 2 April 1969) is a British former professional tennis player.
A right-handed player from Leicestershire, Simpkin reached a career best ranking of 200 in the world while competing on the professional tour.
Simpkin featured as a wildcard in the singles main draw at Wimbledon on three occasions. Her best performance on the WTA Tour came at Eastbourne in 1989, where she had a first round win over Julie Salmon, before losing in the second round to Mary Joe Fernandez. She won one singles and three doubles titles on the ITF circuit.