Polyurethane foams are made by curing a reaction mixture that contains an aromatic polyisocyanate, at least one isocyanate-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 polyethyleneamine mixture having a number average molecular weight of 175 to 450 and an alkali metal, phosphonium or ammonium sulfite. Foams so produced emit low levels of formaldehyde, acetaldehyde, acrolein and propionaldehyde.