Based on systematic engineering theory and method, interpretative structural model of ceramic grindability system was set up. Property parameters, grinding parameters and grindability indexes were selected as system elements. The adjacency matrix between system elements was constructed. The reachability matrix was calculated according to adjacency matrix. By calculation of reachability matrix and classification, interpretative structural model of the ceramic grindability system was obtained. The system model could describe the relationship between the ceramic grindability and system elements. The grindability system model also provides a fundamental theoretical reference for the research on the grindability of ceramic materials. The weight of each influencing factor of ceramic grindability can be calculated by applying the system model. The grindability of ceramic materials can be evaluated objectively and comprehensively.