Background : The purpose of this study was to investigate the relationship between an agility and a concentration, an auditory reaction time and a muscle power. Methods : Twenty one healthy female college students who were 20-21 years participated in the experiment; after being introduced to the methods, they voluntarily signed a consent form. And they received several test related with this study; side step test for an agility, Harris & Harris test for a concentration, brain auditory evoked potential test for an auditory reaction time and vertical jump test for a muscle power. Result : There was no relationship between the agility and the concentration and the auditory reaction time. However, the muscle power related with the agility significantly. Conclusion : In conclusion, these findings suggest that a muscle power training is a good way to promote an agility. So, we can find out that, in an player who requires an agility, a muscle power training is the most important way for promoting an agility than a concentration training or an auditory reaction time training.