Abstract: The suspension for the weaving machine employs vibration-damping bearing elements which have vertical spring constants which differ from each other by at least one order of magnitude. In addition, the sum of the horizontal spring constants of the bearing elements are, at most, one tenth of the greatest vertical spring constants of the bearing elements. The bearing element on the warp beam side is made as a layer bearing while the soft bearing element on the cloth beam side is in the form of an air spring which can be adjusted.The suspension achieves a defined static position of the weaving machine as well as a deep tuning of the suspension system of the machine/bearing elements.