Abstract-We present in this paper an analytical model for the calculation of the electromagnetic field in a slotless surface mounted permanent magnet machines. This model takes into account the two essential directions of magnetization of the magnets, namely tangential magnetization and radial magnetization. It especially accounts for the parallel form of the magnetization direction. The model uses equivalent currents on the surfaces of the magnets, and in an original way, it uses currents in all volume of the magnet. The model is validated by numerical results obtained with a free software of calculation of the electromagnetic fields (FEMM: Finite Element Method Magnetics) which uses the finite elements method and by an existing experimental structure. The model is extended to the magnets segmented in bars and separated. It is then extended to the shape of magnets close to parallepiped forms which are really used in large machines.