Within the framework of the Su-Schrieffer-Heeger model modified to include uniform disorder and an external electric field, the polaron transport process in conjugated polymer material is simulated using a nonadiabatic evolution method. It is found that the polaron dynamic mechanism is determined by both the electric field and the uniform disorder. The effect of uniform disorder is not obvious and almost negligible in most cases, except for the case of very weak electric field. Compared with the effects of Gaussian disorder, the film morphology with uniform disorder is conductible to the polaron transport.