A motorcycle tyre set (S) comprising: a front-wheel tyre (S1); and a rear-wheel tyre (S2), wherein each of the front-wheel tyre (S1) and the rear-wheel tyre (S2) comprises a tread portion , a toroidal carcass , a band layer arranged outwardly in a tyre radial direction of the carcass in the tread portion , and a tread rubber arranged outwardly in the tyre radial direction of the band layer , the carcass comprises a carcass ply comprising a plurality of carcass cords , the band layer comprises a jointless band ply in which a band cord is wound spirally in a tyre circumferential direction at an angle (β) equal to or less than 5 degrees, the tread rubber comprises a crown rubber portion disposed in a tread crown region , and each of the front-wheel tyre (S1) and the rear-wheel tyre (S2) further comprises a pair of shoulder rubber portions arranged on both sides of crown rubber portions in a tyre axial direction, wherein an angle θ1 of the plurality of carcass cords of the front-wheel tyre (S1) is equal to or less than 65 degrees with respect to the tyre circumferential direction, characterized in that a rubber hardness Hc2 of the crown rubber portion of the rear-wheel tyre (S2) is greater than a rubber hardness Hc1 of the crown rubber portion of the front-wheel tyre (S1), in the front-wheel tyre (S1), the rubber hardness Hc1 of the crown rubber portion is different from the rubber hardness Hs1 of the pair of shoulder rubber portions , and in the rear-wheel tyre (S2), a rubber hardness Hc2 of the crown rubber portion is different from a rubber hardness Hs2 of the pair of shoulder rubber portions , wherein the rubber hardness is measured by Durometer Type A at 23 degrees C based on JIS-K6253. a front-wheel tyre (S1); and a rear-wheel tyre (S2), wherein each of the front-wheel tyre (S1) and the rear-wheel tyre (S2) comprises a tread portion , a toroidal carcass , a band layer arranged outwardly in a tyre radial direction of the carcass in the tread portion , and a tread rubber arranged outwardly in the tyre radial direction of the band layer , the carcass comprises a carcass ply comprising a plurality of carcass cords , the band layer comprises a jointless band ply in which a band cord is wound spirally in a tyre circumferential direction at an angle (β) equal to or less than 5 degrees, the tread rubber comprises a crown rubber portion disposed in a tread crown region , and each of the front-wheel tyre (S1) and the rear-wheel tyre (S2) further comprises a pair of shoulder rubber portions arranged on both sides of crown rubber portions in a tyre axial direction, wherein an angle θ1 of the plurality of carcass cords of the front-wheel tyre (S1) is equal to or less than 65 degrees with respect to the tyre circumferential direction, characterized in that a rubber hardness Hc2 of the crown rubber portion of the rear-wheel tyre (S2) is greater than a rubber hardness Hc1 of the crown rubber portion of the front-wheel tyre (S1), in the front-wheel tyre (S1), the rubber hardness Hc1 of the crown rubber portion is different from the rubber hardness Hs1 of the pair of shoulder rubber portions , and in the rear-wheel tyre (S2), a rubber hardness Hc2 of the crown rubber portion is different from a rubber hardness Hs2 of the pair of shoulder rubber portions , wherein the rubber hardness is measured by Durometer Type A at 23 degrees C based on JIS-K6253. <EOS>