A great deal of attention is presently being drawn to the question of noise and vibration damping. One of the basic means of the effective damping of unfavorable noises and vibrations is the usage of special sheets with high vibration and noise damping properties in thin-slab structures. In this article the results of a study of the dynamic behavior (of the loss factor) of multilayer vibration damping sheets are being described. The aim of this article is to show the design optimization of multilayer vibration damping sheets, carrying a high loss factor. The theoretical prerequisites for the structure optimization of vibration damping sheets, having a high loss factor, have been determined. The experimental studies on the influence of the thickness of the vibration damping layer, thickness and Young’s modulus of experimental with theoretical data have also been carried out. More effective designs of multilayer vibration damping sheets have been scientifically substantiated.