[en] Principles for construction of the system for stabilization of the proton beam radial position in the B-5 synchrotron are considered. Stabilization of the beam radial position during acceleration is performed by correction of the driving oscillator frequency according to the signals of the sign of beam excursion from vacuum chamber center. The stability of trimming loop is provided by the beam phase feedback. The expressions, relating the system parameters with beam characteristics are given. The above principles were used for construction of the system for stabilization of radial beam position in the B-5 synchrotron. The beam acceleration practically without losses is due to the operation of this system. When the number of beam particles doesn't exceed 1.5x10⁸, the system stabilizes its position in the limits of less than +-3 mm With respect to geometric center of the chamber, which constitutes 10% of its aperture