A midsole structure for a shoe which improves a ride feeling and stability of the midfoot portion of the sole assembly during running. The sole assembly 1 of the shoe includes the upper plate 3 disposed on the upper side of the midfoot portion M and formed of a hard elastic member, the lower plate 4 disposed under the upper plate 3 to form the void S with the upper plate 3, formed of a hard elastic member, and having a downwardly convexedly curved shape, the midfoot outsole 6 attached on the bottom surface 4a of the lower plate 4, having the ground contact surface 6a, and provided discretely in the longitudinal direction from the outsole 5 of the heel portion H and the outsole 7 of the forefoot portion F of the sole assembly 1, and the connections 8, 9 provided on the front and rear ends of the midfoot portion M and interconnecting the upper plate 3 with the lower plate 4 in the vertical direction.