Abstract: A method and apparatus for capping blown containers is provided. The top surfaces of a snap-on cap are preferably engaged sequentially by pressure members that traverse different segments thereof. The pressure members urge the cap over the neck of a container as they traverse the cap. The pressure members are preferably mounted to a support that is positioned above an initially loosely capped container, and resiliently urge the cap in a downward direction. The pressure exerted by each pressure member on the cap may be adjustable. The surfaces of the pressure members for engaging the cap are preferably substantially spherical.