A lensed multi-beam base station antenna may include a plurality of linear arrays of radiating elements, a plurality of reflectors, a sidelobe suppressor, and a lens. Each array may include a plurality of radiating elements (e.g., two or more radiating elements) that extends forwardly from a planar section of a respective reflector. The sidelobe suppressor may comprise radiofrequency (RF) absorber material that absorbs energy that is emitted by a first of the arrays and that is directed toward a reflector underneath a second of the arrays. The sidelobe suppressor may comprise a RF choke that reduces the RF energy emitted by a first of the arrays that is directed toward a reflector underneath a second of the arrays.