The men's épée was one of eight fencing events on the fencing at the 1964 Summer Olympics programme. It was the fourteenth appearance of the event. The competition was held from October 18 to 19 1964. 65 fencers from 25 nations competed. Each nation was limited to three fencers. The event was won by Grigory Kriss of the Soviet Union, the nation's first gold medal in the event after a bronze four years earlier. The Soviets also took bronze, with Guram Kostava finishing in third place. Between the two was silver medalist Bill Hoskyns of Great Britain; it was the second consecutive Games with a British silver medalist in the event. Italy's six-Games gold medal streak in the men's individual épée ended with the nation missing the podium entirely; Gianluigi Saccaro finished fourth after losing