In order to obtain the incoherently coupled bright-dark photovoltaic spatial soliton pairs that can exist in closed-circuit photorefractive polymer, the propagation of two mutually incoherent optical beams in closed-circuit photorefractive polymer is numerically investigated under steady-state conditions. It is shown that incoherently coupled bright-dark photovoltaic soliton pairs can be established in the photorefractive polymer, in which the mutually incoherent incident beams have the same polarization and wavelength. The bright and dark solitons both can propagate steadily in photovoltaic photorefractive polymer under the conditions of proper parameters or small perturbation. These results provide the theoretical basis for the development of polymer spatial solitons theory.