The present invention provides a glue-free core having a good elasticity. The glue-free core comprises a pocket spring set, border wires, and binding straps, wherein the pocket spring set comprises a plurality of pocket springs integrally welded by means of ultrasonic
waves, and each pocket spring comprises a pocket body and a spring which is compressed and then loaded into the pocket body; the border wires comprise upper and
lower border wires, and the upper part and the lower part of the outermost pocket spring of the pocket spring set are fixedly connected to the upper and
lower border wires, respectively; and the binding straps are fixed to the border wires to bind the pocket spring set, so as to limit the displacement and deformation of the pocket spring set. In the glue-free core of the present invention, the pocket springs are integrally welded by means of ultrasonic
waves, so that the springs of the core can be integrally connected without glue, thereby solving the problem of the debonding of bonded portions of a conventional mattress due to aging of the glue, and preventing
indoor air from being polluted by harmful gas released from the glue. In addition, the pocket springs welded by means of ultrasonic
waves provide an excellent elasticity for the core.