To support the ever-increasing demand on connectivity and datarates, multiple beam antennas are identified as a critical technology for the fifth generation (5G), the sixth generation (6G) and more generally beyond 5G (B5G) wireless communication links in both terrestrial networks (TNs) and non-terrestrial networks (NTNs). To reduce the cost and power consumption, there is a marked industrial interest in adopting analogue multiple beam antenna array technology. A key sub-system in many of such antenna arrays is the circuit type multiple beamforming network (BFN). This has led to a significantly renewed interest in and new technological developments of Butler matrices, Blass matrices, and Nolen matrices as well as hybrid structures, mostly at millimeter-wave frequencies. To the best of the authors' knowledge, no comprehensive analysis and comparison of circuit type multiple BFNs have been properly reported with focus on 5 G and 6 G applications to date. In this paper, the principle of operation, design, and implementation of different circuit type multiple BFNs are discussed and compared. The suitability of these sub-systems for 5 G and B5G antenna arrays is reviewed. Major technology and research challenges are highlighted. It is expected that this review paper will facilitate further innovation and developments in this important field.INDEX TERMS Fifth generation (5G), sixth generation (6G), beyond 5G (B5G), multiple beam antenna arrays, circuit type beamforming networks (BFNs), Blass matrix, Butler matrix, Nolen matrix, terrestrial network (TN), non-terrestrial network (NTN).This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination. GUO ET AL.: CIRCUIT TYPE MULTIPLE BEAMFORMING NETWORKS FOR ANTENNA ARRAYS FIGURE 1. General Layout of a multibeam cellular antenna using 1D circuit type BFNs.