This study explored how goals at different time periods during soccer games affect the results of games of the collegiate soccer tournament in Taiwan. Seven division I teams of the collegiate soccer tournament in 2007-2008 academic year were studied, and data were collected from the total 42 games of the two-round robins. Timings of all goals were analyzed utilizing grey relations analyses. Grey relations analyses revealed that influence of goal timing on game results were X1(1-15 min) > X5(61-75 min) > X4(46-60 min) > X2(16-30 min) > X3(31-45 min) > X6(76-90 min). Thus, for the current tournament, goals within 15 min since the game started (X1) was found to be the most critical timing affecting the results of a soccer game followed by goals during 61-75 min (X5), 46-60 min (X4), 16-30 min (X2), 31-45 min (X3), and 76-90 min (X6) respectively. Therefore, 1-15 min and 61-75 min were the key points for winning or losing. Preparation before games, trainings for mental concentration, and allocation of energy are important strategic principles in order to avoid losing points due to negligence or exhaustion before the end of the game.