A system of two tires for two-wheeled vehicles, said tires comprising a radial carcass of toric form of high transverse curvature, having a central crown and two sidewalls terminating with a pair of beads for anchoring the tire to a corresponding mounting rim, a tread band applied crown-wise to said carcass and a circumferentially inextensible belt structure, interposed between said carcass and said tread band, wherein:
- the belt structure of the rear tire comprises at least one radially outer layer formed of a plurality of axially side-by-side circumferential coils of a cord wound at a substantially zero angle with respect to the equatorial plane of the tire,
- the belt structure of the front tire comprises at least one radially outer layer provided with a plurality of cord coils, disposed at a substantially zero angle with respect to the equatorial plane of the tire, axially distributed with a varying density from one end to the other end of said belt.