The disclosure relates to an improved grease composition for use in constant velocity joints, especially ball joints and/or tripod joints used in the drivelines of motor vehicles, with the grease composition comprising at least one base oil, at least one simple or complex soap thickener, at least one zinc sulphonate, at least one molybdenum dithiocarbamate in the solid state, and at least one molybdenum dithiophosphate.