Abstract: A roofing composition for producing a roofing membrane having good bond strength, resistance to cracking, tensile strength and hardness, comprising 5-40% of asphalt and 60-95% of a block copolymer of the A-B-A type in which each end block A is formed from a vinyl aromatic monomer and midblock B is a hydrogenated polydiene or a polymer of the ethylene/propylene or ethylene/butylene type. A white top coating may be applied over the membrane without staining being visible through the top coating. Optionally the composition may also contain nonstaining carbon black, extender pigments, synthetic or natural resins to vary membrane film properties, and conventional additives, such as stabilizers and fire retardants.