A method for displacing acid gas constituents from natural gas to acid gas removal installations equipped with Claus installations with free capacities utilizes a portion of the acid gas which is removed from a first flow of natural gas containing acid gas. The acid gas removed from the first flow of natural gas is fed to at least one other acid gas removal installation, whereby this feeding results in the acid gas removed from the first flow of natural gas being mixed with at least one second flow of natural gas with which it is transported to at least one other acid gas removal installation.