A multi-piece solid golf ball comprising a core including an inner sphere and a surrounding layer and a cover enclosing the core and consisting of inner and outer cover layers is provided. The inner sphere has a distortion of 1.0-4.0 mm under a load of 100 kg, the surrounding layer is softer than the inner sphere, and the core has a distortion of 2.5-5.3 mm under a load of 100 kg. The outer cover layer has a hardness of at least 58 degrees on Shore D which is highest among the ball layers. The ratio A/B is between 0.3/1 and 1.4/1 wherein the inner sphere has a hardness A and the ball has a hardness B, both expressed by a distortion under a load of 100 kg. The ball maintains satisfactory flying performance and durability characteristic of solid golf balls and offers a pleasant soft feel, a click response and improved control.