The present invention relates to a multilayer coating system deposited on at least a portion of a solid body surface and containing in the multilayer architecture Al—Cr—B—N individual layers deposited by means of a physical vapor deposition method characterized in that in at least a portion of the overall thickness of the multilayer coating system the Al—Cr—B—N individual layers are combined with Ti—Al—N individual layers, wherein the Al—Cr—B—N and Ti—Al—N individual layers are deposited alternately one on each other, and wherein the thickness of the Al—Cr—B—N individual layers is thicker than the thickness of the Ti—Al—N individual layers, and thereby the residual stress of the multilayer coating system is considerably lower in comparison to the residual stress of the corresponding analogical Al—Cr—B—N monolayer coating.