A motorcycle tyre set comprising: a front-wheel tyre; and a rear-wheel tyre, wherein each of the front-wheel tyre and the rear-wheel tyre 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 (15, 15A, 15B) disposed in a tread crown region, and each of the front-wheel tyre and the rear-wheel tyre further comprises a pair of shoulder rubber portions (16A, 16B) arranged on both sides of crown rubber portions (15A, 15B) in a tyre axial direction, wherein an angle θ1 of the plurality of carcass cords of the front-wheel tyre 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 is greater than a rubber hardness Hc1 of the crown rubber portion of the front-wheel tyre, in the front-wheel tyre, 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, 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; and a rear-wheel tyre, wherein each of the front-wheel tyre and the rear-wheel tyre 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 (15, 15A, 15B) disposed in a tread crown region, and each of the front-wheel tyre and the rear-wheel tyre further comprises a pair of shoulder rubber portions (16A, 16B) arranged on both sides of crown rubber portions (15A, 15B) in a tyre axial direction, wherein an angle θ1 of the plurality of carcass cords of the front-wheel tyre 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 is greater than a rubber hardness Hc1 of the crown rubber portion of the front-wheel tyre, in the front-wheel tyre, 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, 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.