In IP Over WDM networks, a physical link layer always has multiple logical links, regardless of the mechanism, the logical topology is not allowed to become unconnected as the fault of WDM layer. Therefore, solving the survival of IP Over WDM mapping is particularly important. This paper presents a mapping algorithm based on single-node failure based on the existing IP Over WDM static topological mapping algorithm. The objective is to guarantee the connectivity of IP topology when WDM layer's single-node failure.