The　impact　analyses　of　space　robot　capturing　a　target　and　stability　control　problem　in　the　post-impact　process　were　discussed.　The　dynamic　models　of　space　robot　system　and　target　were　derived　by　multi-body　theory.　The　impact　effect　of　rigidcouplingmodel　was　analyzed　by　applying　geometric　relationship　and　principle　of　momentum　conservation.　Atwo　power　sliding　mode　neural　network　control　scheme　was　proposed　for　the　combined　system　after　acquiring　with　uncertain　system　parameters　and　external　disturbance.　The　convergence　speed　of　the　control　system　was　guaranteed　by　applyingtwo　power　sliding　mode　reaching　raw,　and　the　uncertain　part　was　compensated　by　using　neural　network.　The　proposed　control　scheme　can　eliminate　the　chattering.　Based　on　the　Lyapunov　method,　the　weights　adaptive　law　was　designed　and　the　stability　of　the　combined　system　was　demonstrated.　Computer　numerical　simulation　example　simulated　the　process　of　collision　impact　effect　and　verified　the　validity　of　the　proposed　control　scheme.　©　2017,　The　Editorial　Board　of　Journal　of　System　Simulation.　All　right　reserved.