Greer Stevens (born 15 February 1957) is a retired professional tennis player from South Africa.
Stevens in 1980 reached a career high singles ranking of world No. 7 and the Wimbledon quarterfinals in both singles and doubles. With Bob Hewitt, she won the mixed doubles event at Wimbledon in 1977 and 1979 and at the US Open in 1979. She also played for the Boston Lobsters of World TeamTennis. She retired in December 1980 after competing in the New South Wales Open, having had her career best year.
Note: The Australian Open was held twice in 1977, in January and December.