Abstract: The present invention relates to a method for the preparation of polypeptides by the stepwise condensation of amino acids on a solid support material, which material comprises condensing, as a starting material, amino acids having an N-terminal of .alpha.,.alpha.-dimethyl-3,5-dimethoxybenzyloxycarbonyl, or peptide fragments which are N-terminally protected, utilizing as the support material a slightly cross-linked carrier material activated with bromoacetyl bromide with the formation of bromoacetyl phenyl groups, splitting off, in the course of the synthesis, the peptide fragments formed, separating same from contaminating by-products, and binding them again to the support material.