With the rapid development of economy, unimodal transport cannot meet the demand of customers, in respects of agile manufacturing, speed-to-market, logistics supply chain management, and multimodal transportation provides a good solution. Taking into consideration the transport time between node and node, mode-to-mode time and possible transport delay at node in multimodal transportation networks, the shortest time model of path is presented, and then the transport cost of the path in multimodal transportation network is calculated, providing the theory foundation for the relevant research of multimodal transportation.