Based on the complex network theory, a dynamic invulnerability model of low earth orbit(LEO) satellite network based on multi-agent is established. The distributed topology structure of LEO satellite network is completed, each network node is regarded as a self repairing agent, and under the condition of incomplete information, the general attack strategy is used to study the influence of the gate-station'distribution, attack intensity, attack strength, information index and self repair ability to the survivability of low orbit satellite network. The simulation results show that the system exists recovery lag, it has strong robustness to random strike, and lower vulnerability and better stability for deliberate attack, and self repair performance reduces the network's scale-free characteristics; information index has greater impact on network survivability than attack intensity and attack strength, and the distribution of gate-stations has little effect on network destruction, which shows that the dependence of the low orbit satellite constellations on the ground network is greatly reduced due to the use of interstellar links.