Satellite communication plays a more and more important role in civilian communication and military communication with the explosive growth of requirements on information. It also means that satellite communication network must have a high survivability in order to provide satisfying services to its users. Network survivability reflects the ability of a network to continue to function during and after failures. Now, many papers give an analysis to network survivability for terrestrial networks and the papers studying network survivability for satellite network is few. This paper discusses the network survivability for satellite network based on Walker Constellation. Firstly, we analyze the features of topology of Walker constellation and the analysis method based on time segments is introduced. And then, the new survivability measure for satellite network is defined based on topology structure and traffic capacity. At last, survivability function for satellite network is introduced and some quantities of interest are gotten from the survivability function. Example of survivability performance evaluation of Iridium satellite network is presented.