A golf club head containing a face portion having a front face defining a club face for hitting a ball and a hollow portion provided behind the face portion, wherein the frequency F(fix) of a local minimum value of the first-order vibration mode in a frequency response function of the club head obtained by vibrating an input point on the club face and measuring the response at an output point on the club face is in a range of from 200 to 1400 Hz; and the frequency F(free) of the smallest local minimum value of a frequency response function of the club head obtained by hitting the input point and measuring the response at the output point is in a range of from 5000 to 9000 Hz.