The effects of stochastic magnetic field on the wave-driven current are studied. It is shown that in the central region of the plasma the current density and the dissi-pative power density of the waves will decrease, and the efficiency will increase. In the gradient region (outer region), however, the current density and the power density will increase, and the efficiency will decrease. These effects may be important for the tokamaks driven by the waves with high phase velocity and wide resonance width.