Cylindrical electromagnets are used in various industries. The geometric structure and circular symmetry of these electromagnets reduce flux leakage and increase their efficiency. In this paper, a precise magnetic equivalent circuit for the cylindrical electromagnet is presented and its permeance relations are proved. In order to evaluate the proposed model, the magnetic field in different parts of the cylindrical electromagnet was calculated and compared with the simulation results. The highest error between the results of the two methods is related to the calculation of the magnetic field under the coil, which is equal to 3%. Also, the platform of a laboratory crane was built using a cylindrical electromagnet. The results of the lifting force measurement in comparison with the results of the analysis of the proposed model show an error of less than 2%, which indicates the high accuracy of the proposed model.