Abstract: Based on the Computer Simulation Technology (CST) software, numerical simulations are carried out for comparative study about the frequency response characteristic of the coaxial Bragg structure with different ripples shapes. Results show that the triangular ripples has the narrowest bandwidth, while the bandwidth of rectangular ripples is the widest. Moreover, the reflectivit of coupling mode is obviously improved with the alternate hybrid ripples, and for the half-and-half ripples, the reflectivity of coupling mode is improved and its bandwidth is widened. Besides, whether coaxial Bragg structure employs the alternate hybrid ripples or the half-and-half ripples, the reflectivity and the bandwidth of the working mode are both between the sole rectangular ripples and triangular ripples. However, the overlie ripples overcomes the defects that the sole rectangular ripples and triangular ripples have singularity and sudden border changes, and its mode selectivity is better than rectangular ripples, furthermore its reflectivity and bandwidth are better and wider than that of the sole sinusoidal and triangular ripples, excepting the minus deviation of its syntony frequency point. These features are propitious to the mode selectivity, heat dissipation and the machining manufacture of the coaxial Bragg structure.