Axial flux machines can compete with traditional radial flux machines in terms of torque and power density if the number of pole-pairs is sufficiently high and the ratio of axial length to outer diameter is low. However, it is difficult to manufacture the armature core of the axial flux machine. So this paper proposed a new method. The stator of the machine was realized by using soft magnet compound (SMC) to form a teeth, which was combined with a strip punched laminated core and concentrated winding. Then the electromagnetic design of the machine was performed, and the magnetic field was simulated in the Ansoft Infinite Element Analysis method. Design results and simulation results have indicated that the suitable choice of the main dimensions of the machine and the ratio of the number of pole to slot can achieve sinusoidal emf waveform and small cogging torque.