Abstract: For the production of a motor vehicle exhaust gas cleaning device, which comprises an essentially cylindrical housing (G), at least one exhaust gas cleaning element (1) mounted in it, with a mounting mat (2) in between, and two transition cones (4) joined with the housing at the ends, a sheet metal cut-out (7) is placed around the at least one exhaust gas cleaning element (1) as a mantle, to form the housing, braced to the built-in parts (1 2, 3) to provide a firm attachment, and, in this position, closed to form a sleeve, while the two transition cones (4) are positioned in such a way, as the mantle formed from the sheet metal cut-out (7) is braced and formed into a sleeve, that they project into the housing (G) with support regions (6) which face the housing in each instance, and act as stops to delimit, the bracing process.