Stress paths have material effect on strength and deformation behaviors of soil. The suction controlled stress path study of unsaturated soil is more complex than saturated soil under triaxial compression stress state. The strength and deformation behaviors of unsaturated soil can be approximately described by elastoplastic constitutive model that was proved by abundance academic and test researches. It is an effectual academic study method that adopting elastoplastic constitutive model of unsaturated soil to simulate unsaturated soil suction-controlled stress paths tests under triaxial compression stress state. Barcelona model is used to process the study; and the results show that the stress paths have important effect on strength and deformation behaviors of unsaturated soil under suction controlled triaxial compression stress state.