A metal-strip warped-shape estimation method for estimating, based on a shape in a width direction of a metal strip in a tension-applied state where tension in a longitudinal direction is applied, a warped shape in the width direction of the metal strip in a no-tension state where the tension is relieved, the method comprising:
- a widthwise-shape measurement step of measuring a widthwise shape distribution of the metal strip in the tension-applied state;
- an approximation-curve calculation step of calculating an approximation curve that approximates the widthwise shape distribution, measured in the widthwise-shape measurement step, with a quadratic curve or a circular arc;
- and
- a warped-shape estimation step of estimating the warped shape in the width direction of the metal strip in the no-tension state using the widthwise shape distribution and the approximation curve.