Abstract: A driving system for a tracked vehicle, in particular a tracked vehicle used for the preparation of ski slopes, features a driving wheel rotatable about a first axis of rotation; an idle wheel rotatable about a second axis of rotation parallel to the first axis of rotation; and a track looped around the driving wheel and the idle wheel, and comprising a plurality of strips made of elastomeric material, and a plurality of metal grousers, fixed to the strips; wherein at least one strip has at least one continuous toothed strip, which extends along the inner face of the strip and is configured to engage with the driving wheel.