A multi-piece solid golf ball comprises a solid core and a cover of two inner and outer layers surrounding the core. The outer cover layer has a surface formed with a plurality of dimples is characterized in that a product of the Shore D hardnesses of the inner cover layer multiplied by the Shore D hardnesses of the outer cover layer and a proportion VR (%) of the total of the volumes of dimple spaces each defined below a plane circumscribed by the dimple edge to the overall volume of a phantom sphere given on the assumption that the golf ball surface is free of dimples satisfy any one of the following combinations (1) to (5): (1) 1,500 to less than 2,000 VR: 0.8 .to 1.1% (2) 2,000 to less than 2,500 VR: 0.75 to 1.05% (3) 2,500 to less than 3,000 VR: 0.7 to 1% (4) 3,000 to less than 3,500 VR: 0.65 to 0.95% (5) 3,500 to 4,000 VR: 0.6 to 0.9%. The dimples include at least three types of dimples which are different in at least one of a diameter, a depth, and a value V0 which is the volume of one dimple space defined below a plane circumscribed by the dimple edge divided by the volume of a cylinder whose bottom is the plane and whose height is the maximum depth of the dimple from the bottom.