The present invention provides a stable material having enhanced extensibility and a method for making the same. A tensioning force is applied to the neckable material to neck the material in a direction perpendicular to the first direction. The necked material is then subjected to mechanical stabilization to provide a stabilized extensible necked material. The stabilized extensible necked material is then passed between the peripheral surface of a cylinder which is driven in rotating motion and a device for pressing the stabilized extensible necked material against the peripheral surface of the cylinder. A retarding member retards the passage of the stabilized extensible necked material and directs the material away from the peripheral surface of the cylinder. The stabilized extensible necked material is easily extended in a direction parallel to the first direction and perpendicular to the first direction.