The stochastic magnetic field modifies the interaction of the waves with the electrons, and the wave-driven velocity diffusion may be effected. However, the mechanisms and the results are not all the same, if the value of correlation time of the stochastic magnetic field is different. In general, due to the effects of stochastic magnetic field, the transverse component of the electric field of waves can contribute to the longitudinal velocity diffusion, the resonant peaks of diffusion coefficient in the case of ∈>1 , the oscillating effects of diffusion coefficient are weakened. For the waves propagating nearly perpendicular to the magnetic field the effects of stochastic magnetic field on the velocity diffusion driven by the waves may be important.