Symmetric n‐way power dividers (and combiners) are needed to feed multi‐element antennas and to combine the output powers of a number of solid‐state amplifiers and oscillators over a broad frequency range. We present a unified method of analysis for computing the frequency responses of symmetric, n‐way power dividers of the Wilkinson, radial, and fork types, whose transmission lines are allowed to be coupled and nonuniform and may be surrounded by an inhomogeneous dielectric medium. The method is based on the analysis of a simple one‐ or two‐port network for each of the n eigenmodes of the power‐divider structure, resulting in a. considerable improvement in the speed of computation, as well as a sizable reduction in storage requirements, as compared to a standard method of nodal analysis. Furthermore, the aforementioned one‐ and two‐port networks facilitate the design and optimization of the power dividers over a desired frequency band.