A radar apparatus is provided with transmitting means, receiving means, target detection means, azimuth detection means and a cover member. The cover member has a first face and a second face. The first face and second face are not parallel to one another. At least one of the first face and second face is a curved surface which is curved along azimuth detection directions of the azimuth detection means, such as to provide a large phase difference between incoming waves that are received by a plurality of antenna elements and are from within a range of large angular values in the azimuth detection directions of the azimuth detection means.