A two-piece solid golf ball having long flight distance when hit by a middle iron club to a driver, large spin amount when hit by a short iron club and the like and excellent controllability, while maintaining good shot feel as good as thread wound golf ball, said golf ball including a core and cover, wherein the core mainly contains cis-1,4-polybutadiene, with the surface hardness (D) of the core being higher than the center hardness of the core by not less than 15, and the cover is formed from a cover composition mainly containing a polyurethane-based thermoplastic elastomer as a base resin having a hardness (A) of 35 to 55 which is lower than that of (D), and assuming that the total dimple volume is represented by B (mm.sup.3), the product AB is within the range of 20,000 to 30,000.