Abstract: The cold fluid model is used to derive the general equations for longitudinal EM field and the general expressions for transverse EM field and their boundary condition of axial symmetric multi-component, multi-interface beam-plasma system in which beams have little transverse velocity and its density depends on axial radius and the dispersion relation of homogeneous beam-plasma system in sylindrical metallic waveguide. We analyse EM wave mode existing in homogeneous one electron beam and two electron beams plasma system and Cerenkov radiated growth rate and frequency shift of one electron beam system