The present invention relates to composite prelaminated closure systems, particularly to prelaminated tapes useful as diaper closures. A composite adhesive closure tape of the invention comprises an assembly of sheets laminated one over the other including a central elastomeric sheet having at least one stretching axis; anchor strips disposed over the elastomeric sheet and adhered to opposite marginal end portions of the elastomeric sheet, each anchor strip having one end portion adhered to the elastomeric sheet and an unadhered end portion extending along the stretching axis in opposite directions away from the elastomeric sheet, the unadhered end portions being covered on their bottom surfaces with adhesive; a release strip underlying the elastomeric sheet, the bottom of the release strip being at least partially covered with adhesive; and an attachment sheet underlying and adhered to a portion of one of the anchor strips and underlying end adhered to the adhesive of the release strip. The composite adhesive tape may be provided in a roll or attached to the edge of a diaper.