The invention concerns a process for the preparation of flexible polyurethane foams having good hydrolytic stability, improved damping, with equal or higher levels of other physical properties and with a high absorption capacity. The foams are prepared by reacting organic polyisocyanates and mixtures of(a) liquid polyester polyols, which are produced by the polycondensation of organic dicarboxcylic acid and a polyol mixture which contains 1,4-butanediol, 1,5-pentanediol, 1,6-hexanediol, and at least one triol, and(b) di- to tetra-functional polyether polyols having molecular weights of 1500 to 6000in the presence of catalysts and blowing agents as well as optionally chain extenders, auxiliaries, and additives.