Selective disassembly is a critical technology in a lot of product life cycle issues, such as product parts/components selective disassembly/recycling, maintenance/service, and remanufacturing. Regarding to the selective disassembly modeling problem, a hybrid directed graph disassembly analysis model was proposed based on graph theory, constraints, and assembly topology concept. Topological constraints including directed constraints, virtual constraints and undirected constraints were introduced to describe the complex disassembly relationships between various sub-disassemblies. Furthermore, pre-disassembly group model and post-disassembly group model were proposed to describe the multiple disassembly scenario problem and the incomplete disassembly problem respectively. Therefore, the restricting and restricted relationships between sub-disassemblies can be described by constraint chains. The model proposed can be used in modeling product selective disassembly analysis and decision.Finally, the model’s application was illustrated with a gearbox disassembly example.