Abstract: Plastic closures for beverage bottles and containers for motor oil, food, pharmaceuticals, industrial products and the like have a tamper-resistant band connected to the sidewall of the closure by internal bridges that are formed by notches in the thread core of molding apparatus of the type having mold parts, including a stripper ring, that move axially to release closures. Stretching, elongation, and weakening of bridges when the closure is stripped from the mold are avoided, and desired configuration of the bridges is maintained, with improved quality and uniformity and more consistent proper performance of the closure during application to and removal from a bottle. In a modification, a small number of relatively strong bridges is added to prevent drooping of the tamper-resistant band if some of the predominant bridges break inadvertently before removal of the closure from a bottle, for example.