A safety tire having a carcass turned up in both edges around bead cores, a tread thereon, a belt, a pair of bead apexes, wherein, in a state that the tire is assembled on a specified rim and inflated to a specified pressure, the aspect ratio of the tire is not more than 80%, the axial width WT of the tread is greater than the maximum width WC of the carcass, each edge of the tread is positioned at a height within a range of 50 to 100% of the sectional height HC of the carcass, the carcass provided on each side of the tire equator with a convex arc part with a radius R1 and a concave arc part with a radius R2 smoothly connected each other at an inflection point therebetween, the convex arc part has the center positioned inward of the tire and is extended radially inwardly from the point of the maximum width WC of the carcass to the inflection point, the concave arc part has the center positioned outward of the tire and is extended radially inwardly from the inflection point to the vicinity of a contact point at which the carcass contacts with the bead core, and the radius R2 of the concave arc part is greater than the radius R1 of the convex arc part.