With development of the short time interval measurement technology, array direction-finding technique for burst point localization has been applied to the actual. In this paper we conduct in the following order: the basic positioning principle will be elaborated at first. Then the precision estimation formula of the positioning will be deduced. Finally we perform the simulation experiment. The simulation results show that, if you want to improve the burst positioning accuracy, you need to decrease the measurement error of single station, and choose reasonable arrangement mode and the appropriate baseline length as far as possible.