A multi-piece solid golf ball comprises a core having a structure consisting of at least two layers and a cover on the core consisting of outer and inner cover layers. The core has a diameter in the range of 35 to 41 mm. The inner sphere of the core is formed of a rubber material based on polybutadiene and an outer layer is formed of a thermoplastic or rubber based material. The outer cover layer has a Shore D hardness of up to 53 degrees and lower than that of the outer cover layer. The ball's carry is comparable to conventional solid golf balls and spin receptivity is approximate to wound golf balls while the ball is durable and offers pleasant feel.