This relates to a tamper-evident overcap for packages of the type which include a container that is sealed closed by means of a removable closure. The overcap is preformed and shaped to tightly telescope over both the skirt of the closure and an upper part of the container body and is bonded to the closure skirt in the container body utilizing an adhesive. The collar of the overcap also includes an intermediate portion joining the portions bonded to the closure and the container and the intermediate portion is provided with a circumferential weakening line to facilitate separation of the two parts of the collar when the closure is to be removed. The collar may also be provided with suitable stripes of a coating containing microcapsules in which there is packaged a suitable FDA approved dye or coloring so that when the microcapsules are ruptured, the overcap will be stained so as to indicate tampering.