It was derived the warping and free torsional rigidities of hot-rolled steel cross-sections with flanges of tapered thickness.Tables were provided to find these properties of all hot-rolled sections available in China.It was found that the warping inertia moments of hot-rolled channels are 13%~18% smaller than channels with assumed uniform thickness, and those of hot-rolled I sections were 16%~22% smaller than I-sections with uniform thickness.The warping inertia moments of all the series of hot-rolled channels and I sections were listed, and the formulas for calculating the free torsional constants of the sections considering the change in flange thickness were also given.