PURPOSE: To obtain a product excellent in the dimentional accuracy by performing the contraction rolling of the web height with the rolling reduction of the flange outer face by a vertical roll and restraining the vertical and horizontal movements of the flange part at the mill inlet side.

CONSTITUTION: The member to be roller of after edger rolling of the hot rolling of a flanged shape is rolled by a finishing universal mill. In that case, the flange outer face is subjected to rolling reduction by a vertical roll 84 without the abutment on the horizontal roll 82 side face of the finishing universal mill at the flange inner face. The contraction rolling of the web height is performed with one pass or plural passes. The vertical and horizontal movements to the mill pass center of the flange part of the member to be rolled are then restraining at the inlet side of the finishing universal mill. Consequently, a hot rolling method restraining the slippage out of the specific dimensional tolerance can be realized.