The main objective of this presentation is to assess global vulnerability of the world maritime network and to identify the most critical ports. In the same time, we hope to demonstrate that vulnerability measures can be commonly used to determine the importance of vertices or edges in a graph. Three types of vulnerability measures has been computed: basic measures which assess world maritime network vulnerability to a single node breakdown (in a static way); dynamic measures which assess network vulnerability to cascading failures (starting from a single node breakdown) requiring flow redistribution rules after nodes breakdown; attack and error measures which investigate network vulnerability to the removal of a group of nodes. We show that world maritime network is relatively resilient. Nevertheless, the world maritime network is quite vulnerable to the breakdown of the most important ports (particularly some Asian ones). Finally this research shows that some European ports are more critical than expected.