A motorcycle pneumatic tire, comprising: a tread; a pair of beads (8, 8) each extending from an edge of the tread in an approximately radially inward direction; a pair of beads (8, 8) each further extending from the sidewall in an approximately radially inward direction; a carcass spread along the inner side of the tread and sidewalls (6, 6) to bridge both beads (8, 8); and a band laminated on the carcass in a radially inward direction from the tread, wherein the band is made of cords and topping rubber, the cords are helically wound in a tire circumferential direction, the absolute value of the cord angles to the equatorial plane is 5 degrees or less, the carcass is made up of a first ply and a second ply which is laminated on the radially outer side of the first ply, the first ply is made of first carcass cords and topping rubber, the absolute value of the inclination angle of the first carcass cords with respect to a circumferential direction is at least 60 degrees but no greater than 90 degrees, the second ply is made of second carcass cords and topping rubber, the absolute value of the inclination angle of the second carcass cords with respect to a circumferential direction is at least 60 degrees but no greater than 90 degrees, the first ply turns up around the bead, the first ply has a turn-up portion that extends in an approximately radially outward direction and a turn-up edge positioned on the radially outer side of the turn-up portion, the second ply has an inner edge positioned on the radially inner side of a tread edge, the turn-up edge is positioned on the axially inner side of the second ply, when point is set at one quarter of the half width of the tread surface in an axial direction, measured from the tread edge, distance is set as the distance from the tread edge to the bead heel, point is set on the outer surface of the tire to correspond to the midpoint of distance, point is set on the outer surface of the tire to correspond to the turn-up edge, and point is set on the outer surface of the tire to correspond to the inner edge, point is located at the tread edge or between the tread edge and point in a radial direction, and distance from the tread edge to point and distance are set to have a ratio (L2/LH) of 0.60 or greater but no greater than 0.90, characterized in that the tip of the apex is disposed between the tread edge and point in a radial direction. a tread; a pair of beads (8, 8) each extending from an edge of the tread in an approximately radially inward direction; a pair of beads (8, 8) each further extending from the sidewall in an approximately radially inward direction; a carcass spread along the inner side of the tread and sidewalls (6, 6) to bridge both beads (8, 8); and a band laminated on the carcass in a radially inward direction from the tread, wherein the band is made of cords and topping rubber, the cords are helically wound in a tire circumferential direction, the absolute value of the cord angles to the equatorial plane is 5 degrees or less, the carcass is made up of a first ply and a second ply which is laminated on the radially outer side of the first ply, the first ply is made of first carcass cords and topping rubber, the absolute value of the inclination angle of the first carcass cords with respect to a circumferential direction is at least 60 degrees but no greater than 90 degrees, the second ply is made of second carcass cords and topping rubber, the absolute value of the inclination angle of the second carcass cords with respect to a circumferential direction is at least 60 degrees but no greater than 90 degrees, the first ply turns up around the bead, the first ply has a turn-up portion that extends in an approximately radially outward direction and a turn-up edge positioned on the radially outer side of the turn-up portion, the second ply has an inner edge positioned on the radially inner side of a tread edge, the turn-up edge is positioned on the axially inner side of the second ply, when point is set at one quarter of the half width of the tread surface in an axial direction, measured from the tread edge, distance is set as the distance from the tread edge to the bead heel, point is set on the outer surface of the tire to correspond to the midpoint of distance, point is set on the outer surface of the tire to correspond to the turn-up edge, and point is set on the outer surface of the tire to correspond to the inner edge, point is located at the tread edge or between the tread edge and point in a radial direction, and distance from the tread edge to point and distance are set to have a ratio (L2/LH) of 0.60 or greater but no greater than 0.90, characterized in that the tip of the apex is disposed between the tread edge and point in a radial direction.