A crawler vehicle drive system, in particular for a crawler vehicle configured to groom ski slopes, having: a drive wheel rotating about a first rotation axis; an idle wheel rotating about a second rotation axis parallel to the first rotation axis); and a track looped around the drive wheel and the idle wheel, and comprising a plurality of belts made of an elastomeric material and a plurality of metal grousers fixed to the belt; wherein at least one belt has at least one continuous toothed strip extending along the inner face of the belt and configured to mesh with the drive wheel.