Novel thermoplastic sheet materials, absorbant articles formed therewith and method of producing such sheet materials are disclosed. The novel thermoplastic sheet materials are soft and pliable having a high modulus, high impact resistance and tear strengths and enhanced tape adhesion. The novel thermoplastic sheet materials are formed directly during a coextrusion process which may thereafter include an embossing step. The novel, coextruded thermoplastic sheet materials comprise a plurality of coextruded layers having high modulus outer layers for permitting pressure-sensitive adhesive tape-tab fasteners to be positioned and repositioned thereon without losing substantial tape adhesion therebetween or tearing the sheet materials following their original attachments. The outer layers are formed with a first thermoplastic polymer, such as a polypropylene, having an effective modulus to resist tearing, yielding and deformation upon detaching tape-tab fasteners therefrom, and further having an effective bonding affinity to maintain tape adhesion after initial attachment. The other layer of the thermoplastic sheet materials is an inner layer(s) being formed with a second thermoplastic polymer, such as a polyethylene, to impart softness or low stiffness and effective impact resistance and tear strengths to the sheet materials. The novel thermoplastic sheet materials of the instant invention are suitable for use with articles which, for example, absorb body fluids, and are especially suitable for use as backsheet films in disposable diapers.