A flat metamaterials (MTMs) structure with low refractive index is proposed as a cover in a high-gain horn antenna configuration. The MTMs is composed of two-layer metallic grids and slices of foam. For the characterization of the MTMs, the low refraction property is studied and the effective refractive index n approximate to 0.08 (12.0 GHz) is retrieved. The antenna gain and the radiation pattern are calculated. Because of the electromagnetic wave congregating effect of the MTMs, the gain of the horn with MTMs greatly increases (about 4 dB from 11.8 GHz 12.8 GHz) when compared with the conventional type. We conducted the experiments to verify the simulation results. The idea has a good potential application to the feed design of parabolas.