A multi-piece solid golf ball comprises a core having a 5 structure consisting of at least two layers and a cover on the core consisting of outer and inner cover layers. The outer cover layer has a Shore D hardness of 40-60 degrees. The inner 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.