Abstract: A method and apparatus for applying closures to containers, and capable of applying stake-on caps having generally rectangular cross-sectional exterior surfaces to container whose bodies are also of the same general cross-section, the parts being delivered in random orientation, and each cap being applied to a container in such a manner that it is in proper orientation with respect to the container when finally assembled. The apparatus includes a turret (54) provided with a non-rotatable cam (108), an interrupted drive gear (114), and an alternate continuous drive gear (124). Mounted on the turret (54) for rotation about the centerline of the turret are a plurality of spindle assemblies (90). When applying a rectangular closure (14) to a container (12) designed to receive the closure in only one position of orientation a novel chuck assembly (130) is employed which has an engagement portion which may be held in one of two detent positions spaced 180.degree. apart.