In the late 1950s and early 1960s Claude Jean-Prost had a brief career as a ski jumper. Jean-Prost made his début in the Four Hills Tournament in the 1959–60 season, having his best result in Innsbruck, placing 19th. He finished the season ranked 32nd overall and was selected to represent France at the 1960 Squaw Valley Olympics. At the Games he competed in the large hill event, placing 21st after jump one, before placing 30th after the second jump to finish 26th overall. Jean-Prost missed the next season of competition but returned for the 1961–62 Four Hills Tournament; however, he only competed in Oberstdorf. His final international competition at the 1962 Nordic World Ski Championships in Zakopane. Claude’s son Nicolas was also a ski jumper who competed at the Olympics in 1992 and 1994.