In order to solve the trust management problem of vehicles,a trusted model of secure routing of VANET for quantitative trust management based on Bayesian theory was proposed.In the proposed model,classified and dynamic management method of node trust was used.Meanwhile,the Beta distribution was used to describe the trust situation of the nodes based on the routing protocol framework of GeoDTN+Nav.The proposed model not only improved the security of routing,but also had the lower time complexity and good extensibility.The experimental results showed that,the trust model is effective and has good performance in the malicious nodes removal rate,the packet average arrival rate and the end-to-end average delay.