A dynamic society network analysis method is adapted to study terrorism organization structure and its invulnerability. Firstly, a selective attack method is proposed to destroy terrorism organization network. Secondly, the mesosphere is attacked, and then other segments are attacked according to the degree-distribution centralities of network. The minimal-cut set of graph theory is applied to scout the terrorism network of invulnerability and attack its augmentable chain. The experimental results show that these methods precede traditional attacking methods. It is easy to destroy the entire terrorism organization network.