Rumor spreading on complex networks is an interesting problem that is often discussed by physicists and social psychologists. In this paper, we propose a new rumor spreading model for rumor propagation in online social networks. Negative and positive social reinforcements are considered in the acceptant probability model. Analytically, a mean field theory is worked out by considering the influence of network topological structure. Under certain conditions, information can be spread more widely compared with other rumor spreading models in online social networks. Meanwhile, the numerical simulation results indicate that the information spreading process is sensitive dependent on initial conditions.