Recently,in various fields of science and engineering,the invulnerability of complex networks has been focused on because of its important theoretical values and extensive potential applications.The report summarizes the progresses in invulnerability of complex networks achieved by research group on complex networks at College of Information Systems and Management,National University of Defense Technology.The main results and progresses are as follows:The invulnerability of complex network topologies with incomplete attack information was investigated.A spectral measure method for invulnerability of comeplex network topologies was established.The effects of three structural properties on invulnerability of complex network topologies were analysed.A simulation optimization method for invulnerability of complex network topologies based on tabu search was proposed.