In this paper,based on the theories of parametric modeling and parametric FEA (finite element analysis),the method of parametric modeling and parametric FEA of elastic bracket of aero-engine is discussed by using second development language UG/OPEN GRIP and APDL(ANSYS Parametric Design Language). Parameters are controlled by using program of VC,meanwhile parameters are exchanged between parametric modeling and FEA. In this method,design and analysis become a whole. The results show that the method shortens the period of structural design and analysis,and reduces the workload of designer and analyzer.