The invention relates to an adhesive tape having a carrier composed of a film with an adhesive applied on at least one side thereof, the film being a monoaxially oriented film consisting to an extentof at least 95 wt%, preferably 99 wt%, more preferably 100 wt%, of propylene polymer composition having various phases and comprising the following components: i) 70 to 99 wt%, preferably 85 to 95 wt%, based on the total weight of components i) and ii), of a propylene polymer matrix comprising a propylene homopolymer and more preferably a preferably random propylene copolymer including a comonomerthat is selected from ethylene and C4 to C10 alpha-olefins, where the propylene polymer matrix has a comonomer content of not more than 15 wt%; 1 to 30 wt%, preferably 5 to 15 wt%, based on the totalweight of components i) and ii), of a polypropylene having a modulus of elasticity of less than 150 MPa and a molecular weight Mw of between 40 000 to 150 000 g/mol.