A multimode horn with both a low cross-polarization component less than -30 dB and good VSWR characteristics has been realized at frequency bands 8.6-9.8 GHz and 10.75-11.15 GHz. The improved performance of the proposed horn is verified by comparing with the previous dual-band double-flared horn. The design method for such a horn is based on the mode-matching approach combined with the optimization procedure. This paper proposes an objective function taking account of a spill-over loss and a rotational symmetry in the radiated field instead of an ideal radiation pattern. The effectiveness of our horn is verified by comparison between experimental results in the X band and predicted ones.