Process for producing polyurethane foams, preferably flexible polyurethane foams, by reaction of component A comprising A1 ≥ 50 to ≤ 100 parts by wt of a polyether carbonate polyol having a hydroxyl number according to DIN 53240 of ≥ 20 mg KOH/g to ≤ 250 mg KOH/g, A2 ≤ 50 to ≥ 0 parts by wt of a polyether polyol having a hydroxyl number according to DIN 53240 of ≥ 20 mg KOH/g to ≤ 250 mg KOH/g, wherein the polyether polyol is free from carbonate units, A3 0.5 to 25 parts by wt, based on the sum of the parts by wt of components A1 and A2, of water and/or physical blowing agents, A4 0.02 - 3.0 parts by wt, based on the sum of the parts by wt of components A1 and A2, of an antioxidant which comprises at least one compound of the formula HNR1R2 where R1 represents C1-C18 alkyl, phenyl-C1-C4-alkyl, C5-C12-cycloalkyl, phenyl, naphthyl, phenyl or naphthyl, each of which is substituted by C1-C12 alkyl or C1-C12 alkoxy or benzyl or α,α-dimethylbenzyl and R2 represents phenyl, naphthyl, phenyl or naphthyl, each of which is substituted by C1-C12 alkyl or C1-C12 alkoxy or benzyl or α,α-dimethylbenzyl, A5 0.1 to 8.1 parts by wt, based on the sum of the parts by wt of components A1 and A2, of auxiliary and added substances, with component B comprising di- and/or polyisocyanates, wherein production is effected at an index of 70 to 130, wherein all reported parts by weight for components A1 to A5 are normalized such that the sum of the parts by weight A1 + A2 in the composition amounts to 100, and wherein a) component A besides antioxidant A4 contains no other antioxidants, or b) component A besides antioxidant A4 contains no antioxidants comprising one or more compounds selected from the group i) phenol derivatives ii) lactones iii) phosphorus derivatives. A1 ≥ 50 to ≤ 100 parts by wt of a polyether carbonate polyol having a hydroxyl number according to DIN 53240 of ≥ 20 mg KOH/g to ≤ 250 mg KOH/g, A2 ≤ 50 to ≥ 0 parts by wt of a polyether polyol having a hydroxyl number according to DIN 53240 of ≥ 20 mg KOH/g to ≤ 250 mg KOH/g, wherein the polyether polyol is free from carbonate units, A3 0.5 to 25 parts by wt, based on the sum of the parts by wt of components A1 and A2, of water and/or physical blowing agents, A4 0.02 - 3.0 parts by wt, based on the sum of the parts by wt of components A1 and A2, of an antioxidant which comprises at least one compound of the formula HNR1R2 where R1 represents C1-C18 alkyl, phenyl-C1-C4-alkyl, C5-C12-cycloalkyl, phenyl, naphthyl, phenyl or naphthyl, each of which is substituted by C1-C12 alkyl or C1-C12 alkoxy or benzyl or α,α-dimethylbenzyl and R2 represents phenyl, naphthyl, phenyl or naphthyl, each of which is substituted by C1-C12 alkyl or C1-C12 alkoxy or benzyl or α,α-dimethylbenzyl, A5 0.1 to 8.1 parts by wt, based on the sum of the parts by wt of components A1 and A2, of auxiliary and added substances, a) component A besides antioxidant A4 contains no other antioxidants, or b) component A besides antioxidant A4 contains no antioxidants comprising one or more compounds selected from the group i) phenol derivatives ii) lactones iii) phosphorus derivatives. i) phenol derivatives ii) lactones iii) phosphorus derivatives.