The acousto-optic control of the energy profile of laser radiation is considered. A highly efficient multibeam Bragg diffraction mode with a combination of beams close in angular space, forming an averaged pattern in the form of a single beam, is used. In this case, the two-dimensional intensity profile is realized as a product of two independent one-dimensional profiles. On the basis of a polarization-independent two-coordinate acousto-optic deflector, several profiles (including a close to uniform one) were experimentally obtained with a total efficiency of no less than 85% and a profile change time of about ten microseconds. This method can be used in systems for processing materials with powerful lasers.