Disclosed is a nonwoven elastomeric material of a thermoplastic, elastomeric composition comprising a block copolymer which comprises an elastomeric midblock portion and a thermoplastic endblock portion, a first tackifying resin substantially compatible with and substantially associated with the midblock portion, and a second tackifying resin substantially compatible with and substantially associated with the endblock portion. The nonwoven elastomeric material exhibits both desired elastic and adhesive properties and is useful in imparting elastic properties to flexible, non-elastic substrates. Also disclosed is a disposable absorbent product, including the nonwoven elastomeric material and intended for the absorption of body fluids.