In this work, we study theoretically and analytically the electronic transport through a nanowire structure composed of a finite cylindrical quantum wire (CQWR) based on barrier AlGaAs semiconductor, sandwiched between two semi-infinite cylindrical GaAs quantum well wires (CQWWRs). Using the Green function approach to determine the electronic structure of this artificial nanostructure, which is analyzed as a function of the geometrical and physical parameters of nanowires structure. The results show the eigen states (confined states), when they interact with the incoming electronic waves from the first semi-infinite cylindrical GaAs quantum well wire. The decrease of the radius of the system leads to the energy quantization of the electrons and the electronic states move towards high energies until a critical radius Rc=20Å below which no electronic state can exist. In addition, we found that the electronic energy levels of the finite cylindrical quantum wire depend on the mole fraction of aluminum and the ratio between the radius of the cylindrical nanowires and the thickness of the barrier, which are the most important parameters in the optimization of the cylindrical quantum wires nanostructure.Keywords: Cylindrical Quantum Wire, Nanowire, Electronic States, Green Function