The electrical and magnetic loads in transverse flux machines are relatively decoupled in space, which makes this type of machine have the advantages of high torque density and high power density. This article focuses on the characteristic analysis method of claw pole transverse flux permanent magnet synchronous generator, a calculation method for the output characteristics of a generator under given size and output voltage conditions is provided. Firstly, the structural components of the claw pole transverse flux permanent magnet synchronous generator were introduced. Afterwards, based on the fundamental component vector diagram, the electrical circuit theoretical models of the claw pole transverse flux permanent magnet synchronous generators were developed. Finally, the output characteristic analysis process for the cases of both the non-salient pole machine rotor and the salient pole rotor is presented by combining finite element method and circuit theory model. The effectiveness of the process is verified through examples of surface mounted and V-shaped rotor claw pole transverse flux permanent magnet synchronous generators.