This article presents a 4 \(\times \) 6 switched beamforming Chebyshev antenna array operating in the Ka-band (27–40 GHz). The Chebyshev array is designed to minimize the side-lobe level. Hence, to obtain four switched beams, a 4 \(\times \) 4 Butler matrix is employed as a feed network for the 4 \(\times \) 6 Chebyshev antenna array. Consequently, four steerable beams are directed at angles \(\varvec{\pm 20^{\circ }}\) and \(\varvec{\pm 28.5^{\circ }}\) , achieving a gain between 13 and 13.8 dB at 28 GHz. Thus, to further enhance the antenna’s gain to meet the requirements of 5G applications in Ka-band, we have placed a hemispherical lens above the antenna array. As a result, the gain varies between 18.2 and 18.8 dB with a beam scanning in the range of \(-\) 10 \(^{\circ }\) , +36 \(^{\circ }\) . The simulations and experimental results of the S-parameters show multiband in the Ka-band with a significant bandwidth that satisfies the requirements for 5G applications.