The invention relates to a process for producing flexible polyurethane foams by reactinga) polyisocyanates withb) compounds having at least two hydrogen atoms which are reactive toward isocyanate groups in the presence ofc) blowing agents,wherein the component b) comprises at least one polyether carbonate polyol bi) which can be prepared by addition of carbon dioxide and alkylene oxides onto H-functional starter substances using DMC catalysts and has a functionality of at least 2, a hydroxyl number in the range from 10 to 500 mg KOH/g and a content of incorporated carbon dioxide in the form of carbonate units of at least 2% by weight.