A tamper-indicating plastic closure, and tamper-evident package includes a closure wherein the closure includes a pilfer band having a substantially continuous tamper-ring. The tamper-ring extends generally angularly upwardly and inwardly of the closure in a tamper-indicating orientation of the tamper-ring for engagement with a relatively enlarged annular locking ring of the associated container. The tamper-ring includes a plurality of circumferentially spaced projections, which comprise relatively thick regions or shoulders, which act to limit lateral movement of the pilfer band with respect to the container by engagement of at least one shoulder with the associated container generally beneath the container locking ring.