A composite elastic nonwoven web comprised of:from about 50-99 percent, by weight, of a coherent matrix of meltblown fibers of a polyether block amide copolymer having the formula: ##STR3## where n is a positive integer, PA represents a polyamide segment and PE represents a polyether segment; and from about 1-50 percent, by weight, of at least one type of other fibers. 2.