Abstract: Elastomeric films which are both soft and thermally, UV and oxidatively stable are provided. The films are composed of coupled, selectively hydrogenated block copolymers having a relatively high molecular weight and high vinyl content. In addition to the block copolymer other components may be present in formulated films such as other block copolymers, hydrocarbon resins, polyolefins, metallocene polyolefins, homopolystyrene or mineral oils. The softness of the films is determined by the stress at 100% tensile elongation where the films with suitable softness have a 100% stress of about 100 psi or less. While soft, the films also are strong with tensile strengths of 1000 psi or more and suitable hysteresis properties. The elastomeric films are useful as integral components of personal hygiene articles such as gloves, diapers, incontinence products, disposable swimwear and disposable undergarments.