The research of adaptive command and control (C2) organization is one of the key technologies for the realization of NCW (Network Centric Warfare). Firstly, the concept and the main research content of adaptive C2 organization are depicted. Then the research advances of adaptive C2 organization is surveyed from two aspects, the methods of organization modeling and the methods of organization designing. The methods of organization modeling include computation and mathematic organization theory, Petri net, information theoretic criteria, agent and social network analytic methods. The methods of organization designing include three-phase organizational design method, the extended three-phase organizational design method, the organizational design method based on group technology and nested genetic algorithm and the organizational design method based on granular computing. Finally, the description of all kinds of modeling methods and designing methods are offered respectively, and the achievements and scarcities of these methods are analyzed.