An effective-medium theory has been. developed to describe the nondispersive charge carrier transport in a disordered organic material containing extrinsic traps. The results of calculations are compared to predictions of the Hoesterey anal Letson formalism, which has been, widely used before to describe trapping. We argue that our theory describes snore adequately charge transport in the presence of traps since it accounts for the effects of disorder. Also it was found that both the relaxation of the ensemble of majority charge carriers within the combined intrinsic and extrinsic density of state distribution and the occurrence of trap-to-trap migration alters the temperature dependence of the charge mobility significantly, notably at lower temperature.