The invention relates to a device for treating exhaust gases, which can be arranged in the exhaust-gas stream from an internal combustion engine or in the exhaust-gas line from stationary combustion installations and which has a feed-line connection stub and a discharge-line connection stub. Feed-line connection stub (3) and discharge-line connection stub (4) are held on the housing (6) which contains a filter material which has at least one fabric layer made from metal wires or metal fibers. For diversion, for retention of particulates from the in the incoming exhaust-gas stream (1) and for muffling in the exhaust-gas stream and for purification of exhaust gases, in the housing (6) there are shaped bodies (8) which consist of metallic materials (19.1, 19.2) as composite material (19), the empty spaces (11, 16, 17) which are present in the housing (6) being filled with metallic fiber material.