Abstarct: One of the main issues related to electrical machines is their radiated acoustic noise. This issue is of special importance in some industries such as seafarers and submarines, such that one of the main criteria for the design of propulsion motors of ships and submarines is their noise level. From this viewpoint, the non-slotted axial-flux permanent magnet motors with surface-mounted magnets are potentially appropriate, which if well designed, can demonstrate the capabilities of high power density and efficiency together with low noise level. This goal, however, requires a comprehensive analytical model capable of calculating the harmonic contents of the principal performance characteristics of the machine, including the vibrational forces on its components, with a relatively short runtime, such that it can be easily used in machine design algorithms. Accordingly, in the present study a complete algorithm for design and analytical modelling of the non-slotted axial-flux permanent magnet motor is presented. This algorithm is able to calculate all the main performance characteristics of the machine, considering their complete harmonic contents. Moreover, all magnetic forces acting on various components of the machine are analytically calculated, and those forces that cause the vibration of the machine components are determined. Finally, the analytical results for harmonic contents of vibrational forces are compared with those resulted from the finite element analysis and the real tests on the fabricated prototype machine in the acoustic noise laboratory of Shahrood University of Technology. The analytical calculations of this treatise pave the way for prediction and control of the frequency content of acoustic noise radiated from axial flux permanent magnet motors and the design of low-noise motors.