Abstract: In this paper, the Hawking radiation of the Dirac particle at the future horizon is studied in a series of the 4-dimensional steady state pseudo-Riemann space-lime. The Dirac equation is directed by the null-tetred method. The explicit expression of the 4-component wave function of the Dirac particle is obtained near the horizon. The thermal spectra formula of the Hawking radiation of the Dirac particle is solved by the analytic continuation method. We discovered that the radiative temperature is directly proportional to the gravity at the horizon.