The invention provides a box-shaped fan-beam antenna. The box-shaped fan-bean antenna comprises a feed horn, a main cylindrical reflector, an auxiliary cylindrical reflector, an upper cover plate, a lower cover plate, a left baffle and a right baffle. The Cassegrain antenna geometric form is adopted in a bus of the main cylindrical reflector and a bus of the auxiliary cylindrical reflector, the upper side of the main cylindrical reflector, the lower side of the main cylindrical reflector, the left side of the main cylindrical reflector, the right side of the main cylindrical reflector, the upper side of the auxiliary cylindrical reflector, the lower side of the auxiliary cylindrical reflector, the left side of the auxiliary cylindrical reflector and the right side of the auxiliary cylindrical reflector form a box-shaped cavity through the upper cover plate, the lower cover plate, the left baffle and the right baffle respectively, the horn conducting feed on the box-shaped cavity is hidden inside the box-shaped cavity and a waveguide port in the rear portion of the horn serves as a feed port. The box-shaped fan-beam antenna can provide fan beams with a wide pitch (azimuth) range and a narrow azimuth (pitch) range, and is simple in structural form, easy to process and manufacture and very suitable for being applied to millimeter-wave and over-submillimeter-wave frequency bands.