Abstract: A method for the manufacture of intravascular stents of bioresorbable material comprises the following steps:preparing a viscous solution of poly-.beta.-hydroxybutanoic acid as a bioresorbable polymeric material in a solvent,successively coating a male mold core with layers of the polymer solution in several steps by precipitation of the polymeric material by the solvent being evaporated and by the layer previously precipitated being dissolved at least partially for a homogeneous stent blank to build up,drawing the stent blank off the male mold core, andsubsequently treating the stent blank to finish the shaping of the stent.