Efficiency factors of the wave-driven current in relativistic limits were calculated. In view of the high temperature in the plasma, the classical collisional term was neglected, but the contribution of the turbulent collisional term to the distribution of the electrons was considered. From the kinetic equation in its relativistic form, the moment equations were derived, and the efficiency factors were obtained. In the weak and strong relativistic limit, efficiency factor decreases and increases respectively as the momentum of particle increases. To contrast the results with that in N.J. Fisch's paper, the difference of the contribution between classical and turbulent collisional terms were obtained.