In magnetically coupled resonant wireless power transfer (MCR-WPT) systems, the design of coupling coils constitutes a critical determinant of overall system performance. By optimized coil parameter configuration, enhanced coupling magnetic field characteristics can be achieved, leading to concurrent improvements in both transmission efficiency and power capacity. Conventional magnetic field analysis methodologies, typically employing the finite element method (FEM) coupled with Maxwell’s equations, involve inherent complexities, particularly in computational meshing processes. To address these limitations, a generalized analytical method is proposed in this study for characterizing magnetic field distribution patterns across diverse coil configurations in MCR-WPT systems. The proposed methodology implements the Jiles-Atherton (J-A) hysteresis model to establish equivalent linear current representations for ferromagnetic materials, thereby transforming the coil’s magnetic field analysis problem into a superposition computation of multiple current source-induced fields. Taking a coupled coil structure with two iron-core coils as an example, the implementation process of the proposed general magnetic field distribution analysis method is elaborated in detail. The proposed method was programmed using MATLAB, and the resulting magnetic field simulation outcomes were compared with those obtained from COMSOL modeling. The results demonstrate that the proposed method provides high accuracy in calculating the coil’s magnetic field while requiring significantly less computation time than the complex COMSOL modeling. Therefore, the proposed method enables a rapid and accurate estimation of the magnetic field distribution of the designed coils, making it advantageous for the preliminary design of coupled coils in wireless power transfer systems.