After analyzing the characteristics of the model and integrated computing for reliability of the large scale complex systems, a new model named Composite Logic Tree Model (CLTM), its concept and modeling principles are put forth. And then a recursive algorithm based on CLTM for integrated reliability computing is designed. We have developed a software that can be used to establish graphic CLTM and implement comprehensive reliability analysis through interactive visualized interface, which has been successfully applied to the mission of an aerospace system analysis.