Ingrid Schmidt (born 3 March 1945) is a German former backstroke swimmer. She competed at the 1960 and 1964 Summer Olympics and won a bronze medal in the 4 × 100 m medley relay in 1960. In 1964 her team was disqualified in the same event.
At the 1962 European Aquatics Championships, she won a gold medal in the same 4 × 100 m medley event, setting the new world record. For this achievement, the four team members were named German Sportspersonalities of the Year in the team category in 1962.