In a multi-piece solid golf ball having a core, an envelope layer, an intermediate layer and a cover, the core is formed of one or more layer of a rubber composition; the envelope layer, intermediate layer and cover are each formed of a single layer of resin material; the hardness relationship among the layers satisfies the following two conditions: material hardness of cover>material hardness of intermediate layer, and material hardness of envelope layer≥surface hardness of core; the ball additionally satisfies the condition: envelope layer thickness (mm)×envelope layer material hardness (Shore D hardness) cover thickness (mm)×cover material hardness (Shore D hardness); and the core and ball have optimized deflections when subjected to a specific loading. This ball serves as a distance ball which enables a superior distance to be achieved on full shots with a driver and with irons.