A method of after-cooling of the bases of blown out containers, wherein after the transfer of the blown out containers from a blow molding machine to a run-out star wheel which directly follows the blow molding machine along a conveying direction of the containers a cooling of the bases of the containers is carried out by at least one apparatus for cooling the bases. The cooling of the bases of the containers starts immediately during a time interval of at least 0.1 seconds and at most 2 seconds after a pressure release of the containers by the blow molding machine after the blowing out.