This article presents a 3-D semi-analytical model of an axial-flux reluctance coupling. Thanks to the separation of variable s method, Fourier series analysis and the convolution the orem (i.e. Cauchy's product), the salient-pole region is modelled by a spatially variable magnetic permeability. Additionally, an iterative algorithm is implemented to account for the magnetic saturation of the iron teeth. The results of the proposed model are compared with a previously published 2-D se mi-analytical model, 3-D finite-element method and e xperimental results. The proposed method appears to be an appropriate tool for the design process of reluctance couplings in cases where the salient poles are saturated.