In 1959 he had two outings for BRP, firstly a non-qualification at Monaco, then another Formula Two entry at the British Grand Prix. He participated in six Formula One World Championship Grands Prix in all, but scored no championship points. He also participated in numerous non-Championship Formula One races. With the death of Archie Scott Brown at Spa in May 1958, Brian Lister hired Bueb to fill the now-vacant Lister-Jaguar driver's seat. Bueb did an admirable job, scoring several first places at tracks such as Crystal Palace and Goodwood during the 1958 and 1959 sports car campaigns.