The paper proposes the use of the method of renormalization with limitation (MRL) for suppressing the speckle noise in acoustic images. The method is tested on various types of acoustic images. The principal possibility of a significant reduction in the speckle noise level is found due to the fact that the MRL renormalizes the spectrum of the sonar image to the universal reference spectrum (URS) model, which is a model of the spectrum of a «good» quality optical image. To increase the overall sharpness, after applying MRL, it is recommended to use post-processing suitable for each specific type of image. It is proposed to estimate the degree of suppression of speckle noise using the standard deviation from the image averaged over the sprite. The study allows us to conclude that the application of MRL to various acoustic images can significantly reduce the speckle noise