The present invention relates to a process for the preparation of a hydroxy-amino polymer, comprising the steps: a) reacting an H-functional starter compound carrying at least one Zerewitinoff-active H atom with an unsaturated cyclic carboxylic acid anhydride and at least one alkylene oxide compound to give a hydroxyl-group-carrying prepolymer, b) adding a primary amine and/or ammonia to the double bonds of the hydroxyl-group-carrying prepolymer obtained according to step a) to give the hydroxy-amino polymer, wherein the reaction of the H-functional starter compound with the unsaturated cyclic carboxylic acid anhydride and/or the addition of the alkylene oxide compound is carried out using a double metal cyanide catalyst (DMC catalyst). The invention relates additionally to a hydroxy-amino polymer obtainable by the above-mentioned process, wherein the ratio of the amount of alkylene oxide compound to the amount of carboxylic acid anhydride is at least 1.1:1, and further to the use of this hydroxy-amino polymer in the preparation of a polyurethane urea polymer.
