A wound golf ball is constructed by winding thread rubber on a center ball and enclosing with a cover. The center ball consists of a center core having a diameter of 27-37 mm and experiencing a distortion of 3.5-10 mm under a load of 100 kg and an enclosure layer having a Shore D hardness of 55-68 and has a diameter of 33-38 mm. The cover consists of an inner layer having a Shore D hardness of 55-68 and an outer layer having a Shore D hardness of 30-58, the inner layer being harder than the outer layer by at least 5 in Shore D hardness. The ball is improved in spin, control and flight distance at any head speed from high to low ranges so that players may favorably use it independent of their skill or head speed.