Nancy Ann Simons (born May 20, 1938) is an American former competition swimmer and Olympic medalist. She is best known for her performance at the 1956 Summer Olympics in Melbourne, Australia.
Simons competed for the United States as a teenager at the 1956 Olympics. She earned a silver medal as a member of the U.S. women's 4 × 100 meter freestyle relay team. The American team, which also included Sylvia Ruuska, Shelley Mann, and Joan Rosazza, finished with a time of 4:19.2, placing second behind the Australian team. Simons swam the second leg of the relay in the final. She also competed in the individual 100-meter freestyle event, where she advanced to the semifinals.