An elastic drainage pavement comprising waste-polyurethane chips for use on existing roads and a paving method using the same, which uses a binder specially developed to secure the binding between an upper polyurethane-chip layer and a lower existing-pavement layer as well as the binding among the waste-polyurethane chips, resulting in excellent strength and durability, and uses recycled polyurethane chips to provide elasticity and permeability suitable for sports activities, walking, and outdoor exercises.