An elastic composite is provided in a disposable absorbent garment such as a diaper or training pants. The elastic composite has a base layer, a top layer, and an elastic construction disposed therebetween. The elastic construction includes a plurality of spaced apart (e.g. generally equally spaced apart) elastic elements (e.g. strands or threads) that are aligned in a generally cross machine direction and in generally parallel relation. Further, the top and base layers define a first longitudinally extending side edge and a second longitudinally extending side edge between which, the elastic construction is disposed. The elastic composite further includes an elasticized region, wherein the elastic construction is disposed, a first non-elasticized region disposed between the first side edge and the elasticized region, and a second non-elasticized region disposed between the second side edge and the elasticized region.