Pair of motor vehicle tyres, comprising a front tyre and a rear tyre to be mounted respectively on a front wheel and a rear wheel of a two-wheeled vehicle, each tyre of the pair having a tread band extending around an axis of rotation and having a tread pattern such as to define overall a void to rubber ratio less than 10%, and locally, in an annular central sub-portion straddling a respective equatorial plane (X-X) of each tyre of the pair, a void to rubber ratio substantially equal to zero; wherein: the tread pattern of the tread band of the front tyre comprises a central annular portion straddling an equatorial plane (X-X) and two annular shoulder portions disposed on axially opposite sides of the central annular portion; the central annular portion has an axial dimension less than 50% of the lateral development of the tread band, and comprises at least a pair of first grooves extending substantially longitudinally on opposite sides of the equatorial plane (X-X) in such a way as to form a concavity directed towards the equatorial plane (X-X); each shoulder portion has an axial dimension that is less than 35% of the lateral development of the tread band and comprises a plurality of second grooves isolated from the first grooves and extending substantially transversally so as to form an average inclination with the equatorial plane (X-X) greater than 90°; and the tread pattern of the tread band of the rear tyre comprises a module which is replicated along a direction of circumferential development of the tyre, said module comprising: - at least one first pair of first grooves (12; 13) inclined in opposite directions with respect to the equatorial plane (X-X) of the tyre; each first groove (12; 13) of the first pair extending along a portion of tread band comprised between the equatorial plane (X-X) and a respective shoulder whose axial extension is at least 30% of the tread band lateral development, and forming an average inclination less than 60° with the equatorial plane (X-X). the tread pattern of the tread band of the front tyre comprises a central annular portion straddling an equatorial plane (X-X) and two annular shoulder portions disposed on axially opposite sides of the central annular portion; the central annular portion has an axial dimension less than 50% of the lateral development of the tread band, and comprises at least a pair of first grooves extending substantially longitudinally on opposite sides of the equatorial plane (X-X) in such a way as to form a concavity directed towards the equatorial plane (X-X); each shoulder portion has an axial dimension that is less than 35% of the lateral development of the tread band and comprises a plurality of second grooves isolated from the first grooves and extending substantially transversally so as to form an average inclination with the equatorial plane (X-X) greater than 90°; and the tread pattern of the tread band of the rear tyre comprises a module which is replicated along a direction of circumferential development of the tyre, said module comprising: - at least one first pair of first grooves (12; 13) inclined in opposite directions with respect to the equatorial plane (X-X) of the tyre; each first groove (12; 13) of the first pair extending along a portion of tread band comprised between the equatorial plane (X-X) and a respective shoulder whose axial extension is at least 30% of the tread band lateral development, and forming an average inclination less than 60° with the equatorial plane (X-X). - at least one first pair of first grooves (12; 13) inclined in opposite directions with respect to the equatorial plane (X-X) of the tyre; each first groove (12; 13) of the first pair extending along a portion of tread band comprised between the equatorial plane (X-X) and a respective shoulder whose axial extension is at least 30% of the tread band lateral development, and forming an average inclination less than 60° with the equatorial plane (X-X).