A roofing membrane, includes at least one support layer and a plurality of strips arranged in spaced-apart disposition at least on one side of the support layer and made of bituminous material and have a penetration depth between about 120 and 170 at a temperature of 50° C., and a softening point between about 100° C. and 110° C. The strips of bituminous material are separated from one another by a layer of scattered material and are covered by a fusible film. The film is composed of a plurality of strips which are oriented in parallel relationship to the bituminous strips but not interconnected.