Abstract: To improve the cutting efficiency of the same type in pipe trussed structure,the typical multi-body intersected structure were sorted out and parameterized,and its mathematical model was established.The mathematical model of space Ktype connector was derived in detail.On this basis,a generic accurate modeling method for the typical multi-body intersected structure was proposed.This modeling method can deal with the various multi-body intersected structure and solve the problem that the traditional model process through situation with poor adaptability.The simulation results showed that the model has high calculation accuracy,stronger versatility,and a lower difficulty in programming,then it can be used in a variety of typical multi-body trussed structure modeling.