The present invention is directed to hygiene articles comprising nanofibers. The hygiene articles include diapers, training pants, adult incontinence pads, catamenials products such as feminine care pads and pantiliners, tampons, personal cleansing articles, personal care articles, and personal care wipes including baby wipes, facial wipes, body wipes, and feminine wipes. The nanofiber webs can be used as a barrier, wipe, absorbent material, and other uses. Particularly, the nanofiber web is used in a diaper as a barrier-on-core, outercover, and/or leg cuff. It may also be used as a wipe for reducing the gradient of liquid, controlled delivery of materials, and other uses. The nanofibers, having a diameter of less than 1 micron, must comprise a significant number of the fibers in one layer of the web contained by the hygiene article. The nanofibers are produced from a melt film fibrillation process. The process generally includes the steps of providing a polymeric melt, utilizing a central fluid stream to form an elongated hollow polymeric film tube, and using this and/or other fluid streams to form multiple nanofibers from the hollow tube.