Process for the catalytic cracking of a low-coking Conradson carbon feedstock less than or equal to 0.1% by weight and with a hydrogen content greater than or equal to 12.7% by weight implemented in a unit comprising at least one feedstock cracking zone, a zone for separating/stripping the effluents from the coked catalyst grains and a zone for regenerating said grains, characterised in that (a) at least one solid carbonaceous material in the fluidised state, with a carbon content greater than or equal to 80% by weight, is dispersed within the coked catalyst grains, in the catalyst regeneration zone within the coked catalyst grains of a dense bed, the proportion of the catalyst grains relative to the grains of carbonaceous material being constant at all points of the section of the regeneration zone, the latter being equipped for this purpose with at least one structured packing, arranged upstream and/or downstream of means for dispersing the carbonaceous material with respect to the envisaged circulation of the catalyst in the regeneration zone, said structured packing being formed by an entanglement of plates, strips or fins constituting a sieve, this sieve occupying less than 10% of the surface area of the cross section of the capacity in which it is placed, but covering its entire surface area by projection thereon, (b) in that the amount of solid carbonaceous material in the fluidised state dispersed within the coked catalyst grains is adjusted to provide an additional amount of coke Qc on the catalyst to satisfy the following equation: Q c = Q t − Q i, where Qi is the initial coke content of the coked catalyst after cracking of the feedstock and where Qt or Delta coke is the coke content necessary to maintain the temperature of the regenerated catalyst and therefore the heat balance of the process, (c) in that the mixture of coked catalyst grains and solid carbonaceous material is burnt in the regeneration zone to produce a regenerated catalyst depleted in carbonaceous material, (d) in that the regenerated catalyst is mixed with the low coking feedstock in the cracking zone to produce the coked catalyst grains and the effluents, (e) and in that the coked catalyst grains are separated from the effluents in the separation/stripping zone and then the separated coked catalyst grains are sent to the regeneration zone. (a) at least one solid carbonaceous material in the fluidised state, with a carbon content greater than or equal to 80% by weight, is dispersed within the coked catalyst grains, in the catalyst regeneration zone within the coked catalyst grains of a dense bed, the proportion of the catalyst grains relative to the grains of carbonaceous material being constant at all points of the section of the regeneration zone, the latter being equipped for this purpose with at least one structured packing, arranged upstream and/or downstream of means for dispersing the carbonaceous material with respect to the envisaged circulation of the catalyst in the regeneration zone, said structured packing being formed by an entanglement of plates, strips or fins constituting a sieve, this sieve occupying less than 10% of the surface area of the cross section of the capacity in which it is placed, but covering its entire surface area by projection thereon, (b) in that the amount of solid carbonaceous material in the fluidised state dispersed within the coked catalyst grains is adjusted to provide an additional amount of coke Qc on the catalyst to satisfy the following equation: Q c = Q t − Q i, where Qi is the initial coke content of the coked catalyst after cracking of the feedstock and where Qt or Delta coke is the coke content necessary to maintain the temperature of the regenerated catalyst and therefore the heat balance of the process, (c) in that the mixture of coked catalyst grains and solid carbonaceous material is burnt in the regeneration zone to produce a regenerated catalyst depleted in carbonaceous material, (d) in that the regenerated catalyst is mixed with the low coking feedstock in the cracking zone to produce the coked catalyst grains and the effluents, (e) and in that the coked catalyst grains are separated from the effluents in the separation/stripping zone and then the separated coked catalyst grains are sent to the regeneration zone.