A sole structure 1 for a shoe comprises an upper plate 2 having a heel region and disposed on the upper side of the structure 1, a first C-shaped portion 3 and a second C-shaped portion 4 each having a longitudinally flat, generally C-shape with an upwardly opening portion 3A, 4A, disposed alongside in the longitudinal direction under the upper plate 2, and each opening end of the upwardly opening portions 3A, 4A directly fixed to the upper plate 2, and a connecting portion 5 interposed between and connecting the first and second C-shaped portions 3. The C-shaped portions 3, 4 are formed of downwardly convexly curved surfaces 30, 40 and diagonally upwardly convexly curved surfaces 31, 41, respectively, which extend diagonally upwardly from the downwardly convexly curved surfaces 30, 40 toward the upper plate 2.