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This paper mainly discusses the factors which decides the localization accuracy of TDOA with LEO four satellites. Firstly, we derive the TDOA localization model and GDOP of LEO four satellite based on the principle of TDOA. Secondly, some simulation results about factors including locations of four satellites, the accuracy of TDOA measurements, geometry of four satellites, the length of baseline, the projection area of four satellites, are demonstrated. By comparison, it is seen that one can improve the accuracy of localization by decreasing TDOA measuring errors and base station errors, increasing the length of baseline and area of projection area when using the Y geometry of four satellites. For LEO satellite application, geometry, the precision of absolute locations of four satellites,the length of baseline affect the accuracy of localization importantly, while TDOA measurement error, the precision of relative locations of four satellites effects the localization accuracy of our system minor. Therefore, we should choose these factors based on the trade-off of their accuracies and obtaining costs.