Abstract: A disposable noninvasive strap is disclosed for use in securing a medical appliance such as an I.V. line, gauze pad, or the like, to a patient. The disposable strap is removably secured to the patient, and in a particular embodiment, may be applied to a patient's torso or a limb, such as a wrist, arm or leg, and holds the medical appliance without undesirable movement. An exemplary strap comprises a layer of soft, porous, elastomeric material and particularly, is prepared from a spun bond laminate of polypropylene. In a further exemplary embodiment, the strap may applied to the site of a venipuncture after the withdrawal of the needle, to hold in place a cotton or gauze pad or the like, that is applied to the site to absorb and curtail the flow of any blood or other fluid from the same.