Abstract: An adhesive roofing tape is based on a combination of brominated butyl rubber and EPDM. A non-diene block terpolymer is interspersed in the cross-linked polymer network. A plasticizer and tackifier are included to provide resiliency and permanent tack. An important aspect of the invention is to use a high molecular weight polyisobutylene plasticizer and a peroxide curing system. Rapid crosslinking without concomitant rapid degradation of the brominated butyl rubber occurs and some limited degradation of the plasticizer contributes to surface tack. A method of making the adhesive roofing tape is also provided.