In this paper, the four coupling Dirac equations are predigested in two coupling Dirac equations by choosing null tetrad and calculating rotation coefficients in the arbitrarily accelerating charged dynamic space time.Moreover, after change these two coupling equations into Tortoise coordinate system forms and get the classical wave equations near the event horizon of black hole,the authors educe the formulation of Howking thermal spectrum successfully and obtain the Hawking radiation temperature of Dirac particles near the event horizon.