Abstract: Existing methods can’t be used for recognizing simple polyhedron.In this paper，three problems are researched.First，a method for recognizing triangle and quadrangle is introduced based on geometry and angle constraint.Then Attribute Relation Graph（ARG） is employed to describe simple polyhedron and line drawing.Last，a new method is presented to recognize simple polyhedron from a line drawing.The method filters the candidate database before matching line drawing and model，so the recognition efficiency is improved greatly.The authors introduce the geometrical characteristics and topological characteristics describe each junction of ARG，so the algorithm can not only recognize polyhedrons of different shape but also distinguish between polyhedrons that are of the same shape but their sizes and proportions are different.Computer simulations demonstrate the effectiveness of the method preliminarily.