The invention concerns a cosmetic composition, in particular for the hair, comprising, in a cosmetically acceptable medium: solid particles containing at least 10 wt. % of carbonate calcium; at least a conditioning agent selected among: (i) cationic surfactants selected among quaternary esters, quaternary diammonium except those derived from diamino-propane, imidazolium and amides, (ii) cationic silicones, and (iii) cationic polymers whereof the cationic charge density is not more than 7 meq/g and, preferably not less than 0.05 meq/g.