A method of making a nonwoven web comprising nanofibers that are made by a melt film fibrillation process is disclosed. The nanofibers have a diameter of less than 1 micron, and comprise a significant number of the fibers in one layer of the web. 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.
