Aiming at the deficiency of using the traditional strategy in the 2-dimensional biomimetic robot fish 1vs1 game, an offensive strategy of fuzzy control is presented. In the analysis of existing the problem in offensive strategy, the various situation of position and distance between the biomimetic robot fish and water polo are analyzed. Compare to the traditional strategy, some advantages are introduced. The result of test shows the program which according to the strategy can work effectively in the game.