Expansion of cities and the increasing number of high-rise buildings has led ??use of modern elevators is unavoidable. Elevators need motors with low speed, high torque and low torque ripple. Induction motors can replace with permanent magnet motors without gear-box. By using axial flux motor, we can install motor is hoist-way and motor room is removed or in high power volume of motor room is minimized.in this thesis axial flux machine with double-side and internal rotor configuration is proposed for elevator application. The accurate performance of axial flux machines can be evaluated by three-dimensional finite element method, however this method is very time consuming. Especially in design optimization process, we need an accurate method which is less time consuming. An accurate and high speed method is proposed by using quasi-3-D method and Schwarz-Christoffel transformation for modeling axial flux permanent magnet machines. Then by using complex relative air-gap permeance and field reconstruction methods, the speed of method is improved. Normal and tangential component of magnetic field is obtained. Then cogging torque, back electromotive force and electromagnetic torque are calculated. The large diameter stator disc with traditional overlapping winding lead to increasing winding length and copper loss. In low-speed machines, among all losses, the copper lossesare often dominating. Hence, non-overlapping winding axial flux permanent magnet motors with suitable combinations of slots and poles is proposed that end-windings and cogging torque is minimized. Then axial flux motor is designed for elevator with nominal capacity equal to 21persons. In this thesis the accuracy of the developed method is verified using 3-D finite element method. Keywords: Axial flux permanent magnet machine, Schwarz-Christoffel mapping, elevator, cogging torque.