The Functionally Graded Materials (FGM) have been introduced in the last few decades. In these materials the modulus of elasticity can vary as a continuous function throughout the domain of the problem. Due to some weaknesses of the Finite Element Method (FEM) in dealing with these problems, a slightly different version of the recently developed Isogeometric Analysis (IA) method is employed to overcome some of the deficiencies of the FEM. Amongst the benefits of the proposed method, elimination of the burden of mesh generation and a considerable reduction in the size of unknowns and consequently the number of the resulted equations can be named. Finally, the accuracy and robustness of the method is illustrated by a couple of examples.