A method is provided for making an elastic composite having dual elasticized regions. The method entails conveying a base web and integrating a first elastic sub-composite with the base web. Then, a second elastic sub-composite is integrated with the base web, whereby the second elastic sub-composite is spaced apart from the first elasticized sub-composite applied thereon. As a result, an elastic composite having dual elasticized regions is produced. This elastic composite includes a base layer having a pair of side edges and a longitudinal centerline spaced inwardly from the side edges, and a first elastic construction supported by the base layer. The first elastic construction includes a first plurality of spaced apart elastic elements and a first top layer extending over the first elastic construction. The elastic composite also includes a second elastic construction supported by the base layer. The second elastic construction includes a second plurality of spaced apart elastic elements and a second top layer extending over the elastic construction. The first and second top layers are spaced apart and the first and second elastic constructions are spaced apart, so as to define a central non-elasticized region between the first and second elastic constructions.