The rumor spreading model with skepticism mechanism was studied and a SIQR rumor propagation model which is closer to the reality was proposed.The corresponding mean field equations were given out and their stability was analysed.The influence of rumor truth disseminating rate to all kinds of people on the process of rumor spreading in social networks was simulated.Simulation results show that rumor truth disseminating rate in social networks exerts significant influences on the process of rumor propagation.In comparison with the rumor spreading model without skepticism mechanism,the rumor spreads slower in the process of rumor spreading with skepticism mechanism.The larger the rumor truth disseminating rate,the smaller the maximum influence of rumors in social networks.The above conclusions show that the government departments can improve the rumor truth disseminating rate to reduce the influence of rumor on the pubic and society through various ways.