A hollow golf club head comprises a face and a face peripheral portion extending rearward from the face, the face periphery portion provided with a toe-side reduced-rigidity portion and a heel-side reduced-rigidity portion consisting of a concave portion or a slit, wherein under a standard state, the toe-side portion has a center point of length located higher and at the toe side than a face centroid, wherein an angle of a first straight line passing through the face centroid and the center point P1 to the horizontal plane is 20 to 60 degrees, and the heel-side portion has a center point P2 of length located lower and the heel side than the face centroid, wherein an angle of a second straight line passing through the face centroid and the center point P2 to the horizontal plane is 10 to 70 degree.