Generation of plasma current by magnetic trapping of passing alpha particles through ion cyclotron resonance heating (ICRH) is studied. It is found that the efficiency of the ICRH-driven alpha current can be comparable to the known efficiency of the usual fast-wave-driven electron current (e-FWCD). However, the radial dependence can be quite different from the known behavior of e-FWCD. Since a substantial fraction of the fast wave energy can be absorbed by the fusion-born alpha particles through ICRH, the fast wave current drive in a deuterium-tritium reactor plasma may be substantially modified by the synergistic alpha current effect. The present study suggests that, without a careful choice of the wave properties, the synergism may yield a destructive fast-wave-driven radial current profile for plasma equilibrium. However, it also suggests that a proper choice can produce a more favorable result than the e-FWCD can alone. (C) 1995 American Institute of Physics.