The invention relates to a method for the production of high resilience polyurethane foams by reacting a mixture of highly reactive polyols, which usually have an average molecular weight of between about 4800 and 6500 g/mole and at least 70% primary hydroxyl groups and optionally contain fillers, polyfunctional isocyanates, amine activators, cross-linking agents, tin catalysts, blowing agents and stabilizers, compounds of the general formula ##STR1## being used as stabilizers, in which R.sup.1 is the same or different in the average molecule and represents a methyl group or a group of the general formula --CH.sub.2 --CH.sub.2 --(CH.sub.2).sub.a --C.sub.6 H.sub.3 (R.sup.2).sub.2 (a=0 or 1; R.sup.2 =--O--CH.sub.3), with the proviso that at least one R.sup.1 group is a group having the formula --CH.sub.2 --CH.sub.2 --(CH.sub.2)a--C.sub.6 H.sub.3 (R.sup.2).sub.2n has an average numerical value of 2 to 11,m has an average numerical value of 1 to 6,with the proviso that the quotient p=(n+m+2)/m is 1.66 to 12.