A method for securing a closure on a cylindrical container (such as a pharmaceutical vial) includes: positioning a closure in a first position, the closure being substantially centered via a centering assembly along an axis that is generally normal to the closure; translating the substantially centered closure along the axis to a second position; positioning a cylindrical container, the container being substantially centered via the centering assembly along the axis; translating the substantially centered closure along the axis to a third position in which it is adjacent the substantially centered container; and relatively rotating the closure and the container to secure the closure to the container. With such a method, both the closure and the cylinder can be centered along the axis, thereby registering them with each other for reliable securing.