This paper is devoted to the fast modelling of Switched Reluctance Machines (SRMs) and Synchronous Reluctance Machines (SynRMs) by Magnetic Equivalent Circuit (MEC) approach. For SRMs, a combined MEC-FE model is presented. A table of reluctance as function of flux and rotor position is obtained from a reduced FE model which contains a part of the stator and rotor pole. For SynRMs, two separate MEC models of d and q axes are described. The flux paths in the stator and rotor pole, the stator and rotor yokes are modelled as different flux tubes with different reluctances. The flux-linkage curves of both machines can be obtained with good accuracy and low computation time, taking the full FE models as reference. Furthermore, the capability of the MEC-FE model to assess the influence of different machine parameters is also studied in this paper.