In 1963 he became a member of Carroll Shelby's Ford Cobra team, winning his first race at the Continental Divide Raceway in Colorado, followed by an overall win at the LA Times Grand Prix GT race at Riverside in October 1963. For the 1964 FIA season after finishing 2nd in GT at Sebring, Bondurant was in Europe racing the new 289 FIA Cobras at the Targa Florio, Spa and Nurburgring. His best-known victory was winning the GT class at Le Mans 24 Hours in 1964 in Shelby's new Cobra Daytona Coupe with Dan Gurney co-driving. In 1965 Bondurant won the FIA Manufacturers' World Championship for Shelby American and Ford, winning seven out of ten races against the class dominating Ferrari 250 GTOs in Europe. In the same year he drove a works Ferrari Formula 1 car during the United States Grand Prix at Watkins Glen, and handled a Lotus 33 for Reg Parnell at the following Mexican race.