The development of radio frequency circuits is currently guided mainly through two objectives, which are size reduction and performance improvement of devices. Within a reception or transmission channel, the division and/or combination of power are the most delicate stages due to their large dimensions and high insertion losses, particularly in the case of dividers/combiners based on planar technologies. In this context, this study proposes an analysis and design of a new broadband power divider and combiner using stepped impedance. The power divider/combiner developed is designed to cover a broad frequency spectrum ranging from 1 GHz to 4 GHz, including wireless applications such as Global Mobile Communications Systems (GSM), Industrial, Scientific and Medical (ISM), and Sub-6 GHz 5th Generation (5G) applications. The proposed circuit was analyzed using the stepped transmission line impedance method and designed by Advanced Design System (ADS) on an Epoxy-FR4 substrate with a dielectric constant of 4.4 and a thickness of 1.58 mm. The achieved results showed excellent characteristics in terms of transmission across the input and output terminals, mismatches at all three terminals, and isolation among output terminals. A prototype was built and the measured results showed good agreement with those obtained by simulation.