With the increasing severity of global warming, rainstorms are occurring more frequently and severely affect the normal operation of transportation systems. Therefore, the ability of a highway–railway complementary (HRC) network to cope with rainstorms is examined. A resilience assessment model considering the rainfall intensity and its spatiotemporal distribution was used. A numerical experiment was conducted on the HRC network in Fujian Province, China, and the results indicate that the HRC network is more resilient to rainstorms than the highway and railway networks. A nonlinear positive correlation is observed between the network's resilience and rainfall intensity. Rainstorms from March to September severely affect the resilience of the network, particularly in June, August, and September of each year. In terms of resilience, Nan’an and Quanzhou are the most critical county and city, respectively. Furthermore, the impact of coastal cities on network's resilience is greater than that of inland cities.