In order to get the best performance, golf players have to control the accuracy of ball direction and enhance the ball distance. Therefore, for increasing the ball distance, they must increase the club head speed. However, we use both hands to do the swing and we don 't know the conclusion and never have the real measurement of which hand is the major factor in speeding up the club head speed in a golf swing. So the purpose of this research was to explore six Taiwan female elite college golfers (21.8± 1.3 yrs) and thier peak. torque of the wrist, elbow and shoulder joint of the dominated and non-dominated hand at 60°/s, 120°/s and 180°/s (wrist joint) and 60°/s, 180°/s and 300°/s (elbow and shoulder joint) three different angular velocities. By using SPSS 10.0 for Windows, the Pearson's Product-moment was done to analyze the relationship between the peak torque of each muscle group at different velocities and the speed of the club head. The significant level for all statistical data was α = .05. The results revealed that the maximal muscle strength of both the wrist-unlar deviation of the non-dominated hand and elbow-flexion of the dominate hand are positively correlated with maximal club head speed; besides, the shoulder joint played a role instead of the muscle strength in speeding up the club head velocity.