<p>A laminated material as a damping member welded to a panel of a vehicle body comprises a lower sheet of a foamable mer-sheet, an upper sheet of a non-foamable mer-sheet and an intermediate sheet of a reduced size to be interposed between the upper and lower sheets, wherein the upper and lower sheets are welded together at their peripheral end portions which come into direct contact with each other in laminated state. This structure probilits any irregularities present on the body panel surface from appearing on the upper surface of the laminated material and provides a good damping effect. A method for welding a laminated damping material to a vehicle body panel uses an oven which is used in a coating step of a vehicle body assembly line, dry heat of the oven permitting the layer of a foamable material to get foamed and fluidized when the damping material is passed through the oven the coating step, thus providing a thermal welding between the damping material and the panel. This method simplifies the assembling operation.</p>