A method for processing images of spots of laser beams is presented for systems using a modern and promising form of communication using atmospheric-optical communication lines (AOCL). The method allows to significantly expand the use of laser technology in information transfer systems by increasing speed, their efficiency and the characteristics of the positioning subsystem in them. This is important because under the influence of the atmosphere (rain, fog, dust, snow) the laser beam is deformed, and this, in turn, affects the quality of the results obtained from such systems. The necessity of filtering images received from the transmitter by using adaptive methods of processing information in parallel hierarchical networks is substantiated. In order to accelerate the processing of images of spots of laser beams, a specialized random access memory (RAM) is developed, which is used in modeling the developed method for processing images of spots of laser beams. Based on the obtained simulation data, the results of predicting the location of the receiver and the system performance obtained with the presented method are 15–20 % better than the results obtained using known methods. As a result of the development of the presented method, it is possible to reduce the number of accesses to RAM by 2 times, and therefore reduce the load on the memory. The operation of reading 2-port memory has been improved, it allows to create a displacement vector of parallel-hierarchical transformation in one cycle, dividing the width of the record and reading the data bus, which in turn increases the RAM efficiency