This novel chaotic neural network bases on the Chen’s transiently chaotic neural network. It is proposed by introducing radial basis function as disturbance item into the inside state. Analyze the dynamics behavior of the single chaotic neuron and the chaotic search capability of the network. Research the capability of the novel network for resisting the disturbance. This chaotic neural network with radial basis function disturbance is used to solve TSP. The simulation result indicates that this network can avoid the limit of being trapped into the local minima and the capability of resisting the disturbance is perfect.