Abstarct: Hysteresis Motor is one of the most attractive electric machines. Torque in this machine is created by the interesting Hysteresis Phenomenon. But this Phenomenon causes complexity in the equations of machine and as a result complexity in design algorithm and dynamic transient state and steady state modeling. The basis of torque generation in Reluctance Motor, which is a salient pole synchronous motor without an excitation field, is the reluctance difference along d and q axis of the machine. Hysteresis Motor has and Reluctance Motor has not starting torque. The Hysteresis Motor has a high fluctuation range in speed around synchronous speed, while Reluctance Motor has a more suitable torque-speed characteristic near the synchronous speed. The unique features of these two machines, their advantages and disadvantages, make the combination of these two attractive. The axial flux type machines, provide us the possibility of multi-stack structure. In this thesis a novel method for the design of a Hybrid Slotless Circumferential Hysteresis-Reluctance is presented. The used analytical model is baxsed on elliptic approximation of hysteresis loops. In this algorithm, a set of machines is designed and then by defining an objective function, the optimal machine is selected by Direct Search Optimization method. In next chapter, Dynamic transient modeling of the machine is discussed. Integral form of Maxwell’s equations is applied to Hysteresis Motor and magnetic equations of machine as a function of location are calculated. In these equations, the Classic Preisach Model has been used to model the hysteresis phenomenon in disk. Modeling of Reluctance Motor is done analytically and finally the voltage and torque equations and dynamical equation of motion are formed. By performing the proposed model for several initial cycles of machine work, the results of the modeling have been obtained completely in accordance with the expectation. Magnetic parameters in different parts of the machine, electrical and mechanical parameters have been obtained with acceptable accuracy. The accuracy of design method was confirmed in the modeling chapter.