The hybrid excited axial field flux-switching (HEAFFS) machine represents a novel axial machine with a three-dimensional flux distribution. The analysis of cogging torque by three-dimensional finite element method (FEM) is a time-consuming and expensive process. This paper presents an analytical expression of cogging torque about rotor position angle derived based on energy method, and establishes a cogging torque model of HEAFFS machine. The cogging torque calculated by the model is compared with the result calculated by the FEM to verify the accuracy of the model. Furthermore, the effects of different structure parameters on the cogging torque are studied by using the cogging torque model and finite element analysis, respectively, which further verifies the feasibility of the cogging torque model.