Determining the impact of multimodality on network disruption management is essential for creating our future, sustainable transportation networks This paper thus presents the multimodal vulnerability network model (MNVM), which determines the critical links of a multimodal network w. r. t. passenger routing and disruption management of the corresponding services. Therefore, we extend the existing railway network vulnerability model by Szymula and Bešinovi´c (2020) by adding a path-based disruption management approach to optimally adjust the operating services under disruptions. The resulting MNVM is solved by combining multi-column generation and row generation, to iteratively identify beneficial passenger routes, disruption management measures and crucial timetabling constraints. The MNVM is then applied on a case study of the long-distance air and rail network of Spain. The results show that multimodality increases the served demands and the survivability of a network, the latter particularly for several simultaneous disruptions. However, multimodal networks appear to be more vulnerable for few disruptions, comparing their unimodal counterparts. The detailed effects of multimodality on passenger routing are to be investigated further. Also, the explicit consideration of the timetable dependencies of passenger routing could further improve the MNVMs passenger focus and thus the realism of the obtained results.