The Hawking radiation of Dirac particles on event horizon of nonuniformly rectilinearly accelerating black hole with electric and magnetic charge is studied in this paper. First, we construct the symmetrized null tetrad from which the spin coefficients and Dirac equation are derived. Next, by proposing a generalized tortoise coordinate transformation, the Dirac equation is decoupled successfully near the event horizon surface. Finally, following the method of Damour and Ruffini, the temperature on the horizon surface and the thermal spectrum formula of Dirac particles are obtained. The result is also discussed.