He won two medals at the 1980 Summer Olympics in Moscow, Soviet Union. Verrasztó claimed silver in the men's 200 m backstroke, and bronze in the men's 400 m individual medley. Apart from that he twice became world champion in the 200 m backstroke during the 1970s.
His children, Evelyn Verrasztó and Dávid Verrasztó are also Olympic swimmers. He coached them to become European championship gold medalists.
