Process for the oxidation of bitumen, according to which a feed stream of bitumen and a stream of air or of another gaseous oxidizing agent are sent to a pressurized reactor, said reactor being a so-called rotary apparatus . The reaction between the gaseous oxidizing agent and the bitumen or other in the reactor is improved by generating turbulence by means of rotor-stator type mixing devices which produce shear forces making it possible to obtain a good dispersion of the oxidizing agent. The Oxidized Bitumen is defined as follows: bitumen whose rheological properties have been substantially modified by reaction with air at elevated temperatures. Preferably, the oxidized bitumen has a softening point (ball and ring temperature) comprised between 85 and 95 C. The oxidized bitumen having a penetration at 25 C. of 5 to 15 mm are preferentially used.