In this paper, a design method of broadband horn antenna having 3:1 bandwidth and multiple polarization characteristics is proposed. The feeding section of the antenna adopts quadruple-ridged waveguide type for broadband and multiple polarization characteristics of the antenna. By inserting a shorting bar in the cavity structure with a semi-sphere type back short, the return loss at the feeding section was minimized. A corrugated dielectric lens is designed for phase compensation and lens-surface matching at the antenna aperture, which improves the antenna beam pattern. The validity of the design method is verified by indicating the measured data of the antenna.