Based on the calculation formula of the degree of freedom(DOF) for spatial mechanisms and screw theory, the relationship among the number of constraints,kinematic pairs and DOF of single closed-loop over-constrained mechanism with one DOF was analyzed.Then,by using virtual principle and analytical method,the constraint force and coupling with independent constraint number:one,two and three, respectively as well as synthesis condition with arbitrary combination were studied.Given specific constraint combination,the condition of satisfying non-instantaneous motion was analyzed,the number and arrangement of kinematic pairs and spatial geometrical assembly condition of
pairs’axis layout were presented,additionally,typical mechanisms were illustrated.