An invention relates to synchronous electric motors, in particular, to a method of controlling a synchronous electric motor with permanent magnets, utilized as a linear drive for an electric submersible pump unit. A technical result achieved from a method embodiment consists in increasing an accuracy of a torque control of the electric motor and improving an energy efficiency of the electric motor, as well as in achieving an increase in an operation speed of control systems by minimizing settings and eliminating complex calculations of motor parameters. An essence of the claimed method consists in an implementation of an algorithm of the control system of the synchronous electric motor with permanent magnets, utilized, in particular, as a linear drive for an electric submersible pump unit.