Abstarct: Nowadays, sorts of modern electrical machines such as Axial Flux Permanent Machine (AFPM) get special attentions in different industries. Thus, it is so important to improve the performance characteristics of AFPM. Although, the slotted stator AFPMs are superior to other types due to smaller air gap and, consequently, thinner PMs but, the stator slots increase the harmonics content of Back-EMF wave as well as increase the cogging torque, torque ripple, and consequently noise and vibration in the machine. In this thesis, with the aim of torque ripple reduction in the AFPM machine with the slotted stator, the performance of the machine in different type of the pole and slot shapes, including pole with round and chamfer radial edges, the skewed pole shape symmetrically and asymmetrically with open and semi-closed slots has been studied. The reference machine with different introduced pole shapes and topologies is modeled in JMAG Designer and MATLAB software, by using three-dimensional model of finite element and equivalent circuit of the machine, for no-load and on-load conditions, and its performance characteristics were calculated. Finally, according to the results, AFPM machine with the skewed pole shape asymmetrically better than other cases studied.