A multi-piece solid golf ball featuring an increased flight distance, superior control, good feeling, and improved durability is provided. A multi-piece solid golf ball comprising a solid core and a cover of two inner and outer layers surrounding the core is characterized in that the solid core has a distortion of at least 2.4 mm under an applied load of 100 kg, the inner cover layer is formed mainly of an ionomer resin to a Shore D hardness of 28-58, and the outer cover layer is formed mainly of a thermoplastic polyurethane elastomer to a Shore D hardness of 30-55.