Polyurethane foams are made by curing a reaction mixture that contains an aromatic polyisocyanate, at least one iso-cyanate-reactive material having an average functionality of at least 2 and an equivalent weight of at least 200 per isocyanate-reactive group, at least one blowing agent, at least one surfactant and at least one catalyst, a certain β-diketone compound and a water-soluble amino-functional polymer. Foams so produced emit low levels of aldehydes.