We investigate theoretically the dynamic process of polarons and bipolarons in n ondegenerate polymers. In a low field, it is bigger that the carriers are charge d polarons or bipolarons,their lattice configurations and charge densities move together all along. The velocity of polarons is bigger than that of bipolarons in the same system. Both polarons and bipolarons have their saturated velocities .The saturated velocities decrease with the increase of the nondegenerate parame ters. In a high electric field, the electronic states of polarons and bipolaron s are dissociated from their lattice states, and move with high velocities. In t his case, the carriers are electrons rather than polarons or bipolarons.