Abstract: A rotary tabletting machine comprises a rotor with press tools for compression of tablets arranged around the periphery thereof. Pressure rolls contacting said press tools are mounted on both sides of the rotor. The machine is provided with a means for batching tablet material, a means for controlling said means for batching tablet material, and a hydraulic stabilizer of compressive pressure. The hydraulic stabilizer is equipped with a hydraulic pressure regulator connected with said controlling means and incorporating a check valve, a hydraulic damper and a capillary, the inlet of said check valve being coupled to the hydraulic stabilizer, and the outlet thereof being coupled to said controlling means through the hydraulic damper and to a drain through the capillary.