A compact lens antenna assembly A which is a Luneberg lens antenna comprising a hemispherical lens and a reflecting plate so as to converge incoming radio waves on a feed, and which can receive radio waves from not only a geostationary satellite or an orbiting satellite with high gain even if the incidence angle of the incoming radio waves is large includes lens antenna body 10 including a base plate 11, a reflecting plate 13 and a hemispherical lens 14 made by laminating dielectric materials. The plate 13 and the lens 14 are rotatably mounted on the base plate 11. The antenna body further includes feeds 16a and 16b that can be moved to a desired position along guide rails 15. The antenna assembly further includes a reflecting plate support means 20 mounted on a base 21 and capable of inclining the reflecting plate 13 in a desired direction. By inclining the reflecting plate 13, the incidence angle of radio waves from the satellite is adjustable to a value within a predetermined range.