The invention relates to a method for producing carbon membranes suitable for separating gases, comprising the steps of a) coating a porous substrate with a solution of at least one organic polymer that can be transformed into a carbon membrane by pyrolysis, b) drying the polymer coating on the porous substrate by removing the solvent, and c) pyrolysing the polymer coating on the porous substrate to form the carbon membrane which is suitable for separating gases. Each of steps of a) to c), or the sequence of steps a) to c) can be carried out multiple times, and the pyrolysis in step c) takes place at a temperature that is higher than the stoving temperature of the porous substrate.