The method of moments (MOM) and the asymptotic waveform evaluation (AWE) technique are adopted to make quick prediction of the broadband responses of the cirque antenna in this paper. The main steps are as follows: first get the current distribution over a given frequency with MOM, then adopt AWE technique to achieve the current distribution over a random band, and finally calculate the broadband responses of the cirque antenna. The results indicate that the AWE technique not only can well approximate the exact numerical value solution of MOM, but also can improve the velocity of calculation by several times which saves the calculation time of CPU.