The invention concerns a process of grinding of mineral matter in water, in the presence of thickening agents, the stable suspensions of mineral matter ground in water obtained by the process according to the invention, and the use of the said suspensions in aqueous formulations, in particular formulations of linings such as aqueous paints, renderings, inks, coatings, sealants, adhesives, glues, and other aqueous formulations incorporating mineral matter. Finally, the invention concerns the aqueous formulations obtained according to the invention.