The invention relates to mechanical engineering, in particular to reduction gearmotors, and can be used in power low-duty drives for obtaining a slow rotation of the output shaft, for example, in devices.The precession mini reduction gearmotor, according to the first embodiment, comprises a body (1) with a cover (3), in which are placed two central gearwheels, one fixed (2), rigidly connected to the cover (3), and one movable (4), rigidly connected to a driven shaft (5). Between the central gearwheels (2, 4) is freely placed a planetary pinion (7), made in the form of a disk, on the outer surface of which is made a closed circular groove (8), in which is placed with the possibility of rotation a ring (9), on the outer surface of which is made a groove (10) in the shape of a sinusoidal wave. The precession mini reduction gearmotor further comprises a mechanism for the precessional motion of the planetary pinion (7), which includes at least three blocks of piezoelectric elements (13), uniformly fixed on the inner lateral surface of the body (1) and connected to an electric current source. Each of the blocks of piezoelectric elements (13) comprises a mechanical longitudinal oscillator, located tangential to the circle of the body (1), and two mechanical transverse oscillators, placed on either side of the mechanical longitudinal oscillator, directed perpendicular to the latter. In the flange of the planetary pinion (7) are made, in a preset number, bolts with a gap between them, at the same time the number of bolts Z2 = Z1 ± 1, where Z1 is the number of teeth of the fixed central gearwheel (2).The precession mini reduction gearmotor, according to the second embodiment, is characterized in that both central gearwheels are fixed, one is rigidly connected to the cover and the second is rigidly connected to the body. The planetary pinion is connected to the driven shaft by means of an elastic element, one end of the shaft being made spheroidal.