The results of demonstration experiments on the stabilization of a focused beam of radiation from a repetitively-pulsed CO₂ laser on a laboratory path, simulating distortions on an approximately 3 km long real path in the surface layer of the atmosphere, are presented. Under conditions of time-varying optical distortions in the path, it is shown experimentally that the method of beam stabilization according to the position of a bright speckle, as proposed at the Scientific Research Institute of Laser Physics and implemented at low power level in V. E. Sherstobitov, V. I. Kuprenyuk, D. A. Goryachkin et al., Proc. SPIE 3684, 51 (1999), increases the efficiency of high-power CO₂-laser radiation delivery on a diffraction-size detector by a factor of 3-4 as compared with no stabilization.