The present invention discloses a process for the catalytic cracking of a weakly coking feedstock having a Conradson carbon residue of 0.1% by weight and a hydrogen content of greater than 12.7% by weight, comprising at least a feedstock cracking zone, a zone for separating/stripping the effluents from the coked catalyst particles and a zone for regenerating said particles, characterized in that at least a solid carbon material in the fluidized state, having a carbon content equal to or greater than 80% by weight, is injected upstream of and/or during the catalyst regeneration step into a dense bed of coked catalyst.