Abstract: Considering the secure network connection and dependable routing of the routers,a routing model is proposed based on the trust theory.This model takes the trusted network connection as the starting point,and then analyzes the interactive behaviors between routers,referring to the complex theory,and appraisal the network security risk and network gain brought by the connection of the routers entities to quantify the trust relationship.For the second,a dependable flooding algorithm of trust is carried out.At last,a routing algorithm based on the minimum of trust degree routing entropy is presented,which does well in avoiding routers with low trust degree and takes into account the routing efficiency.This model aims to be used in the next-generation connection-oriented Internet which is controllable and trustworthy.