Quantum signaling states have decoherence because of the environment during the transmission. It causes signaling damage and thus will have impact on building high survivability quantum entanglement signaling network. In order to study the influence deeply, Poisson damage model of quantum signaling network is established. First, disaster magnitude is defined base on signaling fidelity. Second, average damage signaling quantum bits and survival function of quantum signaling network is put forward by basic quantum theory. At last, research on the signaling damage repair strategy and simulation is analyzed. Simulation results show that increasing of disaster magnitude will greatly reduce the signaling network survivability. However, increasing the nodes and controlling signaling damage caps may improve survivability. The repair strategy which costs small number of cycles can rapidly increase the signaling fidelity from 0.6 to 0.9 and the survival function of the signaling network from 0.4 to 0.9.