Time-triggered (TT) network provides a low-cost service to meet the strong demand of modern industry networks for real-time communication. Both simulation and reachability analysis provide effective research methods for TT networks. This article presents a verification framework for the TT network based on timed colored Petri nets (TCPNs). We propose an automatic formal modeling method for the behavior of message transmissions in the TT network. We harness timed multisets of TCPN to model and analyze TT message transmission latencies. For a holistic system evaluation, we characterize the critical system properties, such as boundedness and liveness. We substantiate the properties by the reachability analysis. We demonstrate the effectiveness through a case study by simulating the message transmission and reachability analysis in the state space. Finally, we analyze the influencing factors of the state space in the automotive scenario. The proposed automatic modeling method can effectively reduce the state space scale.