The purpose of this study was to investigate the relationship between the performance time and space cognition of a ball game player when dodging a player in the defense.The subjects were 8 players ranging from 18 to 22 years in age. The method used in this study was to have the subjects run toward a photoelectric cell, and turn right or left depending on a light from a signal board. This light was controlled by a control-box when the subjects crossed the photoelectric cell. Variations of 1, 2 and 3 m were used for the distance from the photoelectric cell to the signal board. The performance time as well as the running speed of the subjects were measured both when the signal from the board was given and when no signal was given. When the distance from the cell to the board was 1 m the running speed of the subjects dropped. However, this did not happen when the distance was 3 m. In the 3 m distance no significant differences were observed in the performance time of the subjects whether the signal was given or not. However, when the distance was 1 or 2 m significant differences could be observed in the performance time of the subjects depending on whether the signal had been given or not. The results of this study seem to indicate that from a 3 m distance to the position of a player in the defense, player can easily run and dogne the defense without dropping their speed.