A method and apparatus derives a change amount in the cumulative value of displacement for the unit of time as a change ratio in tire deformation by using the cumulative value of displacement derived present time and the cumulative value of displacement derived last time, and calculate a rate of change ratio using the change ratio in tire deformation previously calculated as a reference value and the change ratio calculated present time, and determine a cornering stability of the wheel that represents a degree of a margin in which the wheel keeps no sliding and beyond which the wheel start sliding based on the rate of change ratio.