The invention provides a multi-piece solid golf ball having a solid core, an inner cover layer and an outer cover layer, which outer cover layer has numerous dimples on a surface thereof. The ball is characterized by combining an inner cover layer and an outer cover layer that are each formed to specific material hardnesses and thicknesses with dimples which satisfy specific conditions. This multi-piece solid golf ball is able to substantially reduce the distance traveled by the ball when struck at a high head speed, while at the same time holding down the decrease in distance when struck at a low head speed.