An apparatus for inverting the stop flange on a tamper-indicating closure, from an axially outwardly oriented position as molded to an axially inwardly oriented position for use, includes a support base for supporting the closure such that the stop flange as molded is spaced from and oriented away from the support base. A pedestal is movably carried by the support base at a position spaced from the support base. A locator ring is carried by the pedestal and movable with the pedestal to engage the stop flange on a closure carried by the support base and to bend the stop flange radially inwardly. An inversion ring moves through the locator ring to engage and invert the stop flange that is bent radially inwardly by the locator ring.