Born in Paris, Bézier obtained a degree in mechanical engineering from the Ecole des Arts et Métiers in 1930. He earned a second degree in electrical engineering in 1931 at the Ecole Superieure d'Electricité, and a doctorate in 1977 in mathematics from the University of Paris.
He worked for Renault from 1933 - 1975, where he developed his UNISURF CAD CAM system.
From 1968 - 1979 he was Professor of Production Engineering at the Conservatoire National des Arts et Métiers.