A method of making an elastic composite is provided. The method entails conveying a first web of material along a web plane path. The method also entails applying a first section of a first elastic strand onto the first web and generally transversely to the web plane path and applying a second section of a second elastic strand onto the first web and generally transversely to the web plane path. These applying steps are repeated while performing the conveying step, thereby arranging a plurality of first and second elastic elements on the first web, in generally parallel relation to one another. The resultant composite is suitable for incorporation into a disposable absorbent garment, textile or fabric structure, and the like.