The invention relates to a method for fastening an exhaust gas converter module (1) to an internal combustion engine (2) of a motor vehicle, wherein the exhaust gas converter module (1) is first connected to a pipe section of the exhaust gas system arranged upstream in the flow direction of the exhaust gas and is then pivoted about a pivot axis (S), wherein a two-part module bracket (4) engages with an engine bracket (3) and is coupled with the engine mount (3) in this installation position by a screw connection. The invention relates to a corresponding device having an engine bracket and a module bracket (3, 4).