Stronger elastic laminates, as well as methods of preparing the laminates, are disclosed herein. Particularly, the present disclosure is directed to multilayered elastic laminates including a thermoplastic elastomeric film layer and a plastic layer coextruded together, and further, a facing material laminated to the thermoplastic elastomeric film layer. The laminates are stretched and then relaxed. The prepared laminates have enhanced overall strength and elasticity while having a soft, cloth-like feel, and are prepared at a lower cost.