A multi-piece solid golf ball comprising 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 such that the product of the Shore D hardness of the inner cover layer and the outer cover layer, a proportion VR (%) of the total of the volumes of dimple, and the distortion of the core have a predetermined relationship. 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.