A multi-piece solid golf ball comprising a core consisting of an inner sphere and an enclosure layer surrounding the inner sphere and a cover surrounding the core and consisting of an outer layer and an inner layer is characterized in that the outer layer of the cover has a hardness of 40-60 in Shore D, the inner layer of the cover has a hardness of 55-70 in Shore D, the surface hardness of the enclosure layer is lower in Shore D than the surface hardness of the inner sphere, the inner sphere has a hardness expressed by a distortion of 1.5-4.5 mm under an applied load of 100 kg, and the ratio of the hardness A of the inner sphere to the hardness B of the ball, both expressed by a distortion under an applied load of 100 kg, is in the range: 0.4.ltoreq.A/B.ltoreq.1.8.