This paper concerned with the solution of finite nanowire superlattice quantum dot structures with a cylindrical cross-section determine by electronic states in various type of layers in terms of wave functions between structures containing the same number of barriers and wells (asymmetrical) or containing a different number (symmetrical). The solution is considered with the Finite element method with different base linear rectangular element to solve the one electron Ben Daniel-Duke equation. The results of numerical examples are compared for accuracy and efficiency with the finite difference method of this method and finite element method of linear triangular element. This comparison shows that good results of numerical examples.