The purpose of this study was to investigate the relationship between the preference and non-preference for certain judo players and their fundamental physical fitness. Twenty excellent judoists in open weight category who were national team members from 1985 to 1988 were selected as the subjects. And than, Bradley and Terry model, which was constructed as one dimensional scaling of game performance, was applied to the game tournamenets of all Japan levels from 1985 to 1988. From the investigation in the validity of the indices obtained, there was a significant preference and non-preference relationship for certain judo players. A new index which could express the preference and non-preference relationship operationally was devised as follows : S_=(X_ + 0.5)/(X_ + 0.5)^* P_j/P_i where S stands for preference and non-preference index, X for a number of wins and P for the parameter of the Bradley and Terry model. On the basis of the results, a correlation ration between the preference and non-preference index and fundamental physical fitness was calculated. As a result, body weight, skin fold fat (abdomen), chest girth, hip girth, arm strength, bench press, squat, high clean, arm pullover,side step, step test and endurance run were significantly correlated with the preference and non-preference index.