In this study, we predicted effective stiffness modulus using the developed in-house code which applied AEH(Asymptotic expansion homogenization). Firstly, we designed RVE model with rectangular structure which have different CNT direction in matrix, X, X&Y, X&Y&Z, respectively. Inclusion in matrix is very important factor which influence effective modulus of composite. Therefore, we designed inclusions of various structures. The shape of inclusion were designed with straight and curve cylindrical shape. Inclusions have a diameter of 5 nm. In addition, CNT in matrix were designed to long and short CNT, respectively. Five different stiffness moduli of matrix were given for application to various materials. Moreover, 720 different RVE models are analyzed with variation of inclusion direction, inclusion volume percent, and inclusion type. Consequently, we proposed some equation to predict experiment results of nano-composite using analyzed result of AEH in-house code.