Abstract: Correction coils (CC) are the important components of International Thermonuclear Experimental Reactor (ITER) superconducting systems. The coil body is composed of many types of material and periodic micro-structure. It is important to predict its equivalent material properties. A method commonly used is finite element method (FEM) based on homogenization theory, whose process is complicated. A new FEM based on Generalized Hook’s Law was proposed. Compared two methods with each other, it is found that the latter is easier and more precise. The results provide essential parameters for structure analysis and thermal analysis for CC.