In order to study the incoherently coupled spatial soliton pairs in open-circuit photorefractive polymer, the incoherently coupled dark-dark, bright-bright, grey-grey and bright-dark soliton pairs are predicted in open-circuit photovoltaic photorefractive polymer under steady-state conditions based on the polymer photorefractive effect. The results show that these soliton pairs can be established provided that the carrier beams share the same polarization,wavelength, and are mutually incoherent. When these incoherent coupled soliton pairs propagate together, two components can propagate stably in photovoltaic photorefractive polymer.