The invention provides a melt-blown non-woven fabric obtained by melt-blowing an ethylene-.alpha.-olefin copolymer having a density of smaller than 0.900 g/cm.sup.3 and a crystallinity of from 5 to 40% or by melt-blowing a resin composition which chiefly comprises said copolymer, a laminated non-woven fabric obtained by laminating as a unitary structure a dry-type non-woven fabric on the melt-blown fabric that is obtained by melt-blowing said copolymer or the resin composition which chiefly comprises said copolymer, and a cataplasm which comprises the non-woven fabric obtained by melt-blowing said copolymer or said resin composition which chiefly comprises said copolymer, a dry-type non-woven fabric laminated on said melt-blown non-woven fabric, and a medicine layer applied onto said dry-type non-woven fabric. The non-woven fabric or the laminated non-woven fabric has excellent elastic property, i.e., excellent elasticity under the two-dimensional condition, and exhibit excellent fitness to the curved portions and to the stretched or contracted portions. The invention further provides a non-woven fabric obtained by melt-blowing a resin composition which contains 98 to 40% by weight of a polypropylene and 2 to 60% by weight of an ethylene-.alpha.-olefin copolymer having a density of smaller than 0.900 g/cm.sup.3 and a crystallinity of from 5 to 40%, and a laminated non-woven fabric material using the above non-woven fabric, featuring excellent softness and heat-adhesiveness at low temperatures as well as easy heat-working such as heat-embossing.