Polaron transport process in conjugated polymer with intrachain disorder is simulated using a nonadiabatic evolution method. The simulations are performed within the framework of an extended version of the Su-Schrieffer-Heeger model modified to include intrachin disorder and an external electric field. It is found that the polaron transport mechanism is determined by both the electric field and the intrachain disorder. The effects of intrachin disorder are negative in most cases, but with the increase of the electric field, the influence of intrachin disorder on polaron transport decreases.