In this paper a three-species two-dimensional model is used for the simulation of the Trichel pulse regime of corona discharge in air for a point-plane configuration. Effects of different parameters of the model on Trichel pulse characteristics (Trichel pulse period and the average corona current) are studied. The parameters of interest are external resistance of the circuit, secondary electron emission coefficient and negative and positive ion mobilities. Moreover, the numerical simulation was performed for the configuration used in the experimental analysis reported in the literature and the results proved to be very compatible.