When manufacturing a straight steel section having a joint 2 comprising a ball claw 21 and a curved claw 20 by hot-rolling a bloom vertically symmetrically to make a section blank having a flange 2A at a web 1 end (first step), vertically asymmetrically hot-rolling the section blank to adjust the size of the web and form the flange into a rough joint 2B including a projection 20A (second step), and subjecting the projection to hot bend rolling into a curved claw 20 (third step), wherein the bloom has a chemical composition comprising, in mass percentage, from 0.01 to 0.20% C, up to 0.8% Si, up to 1.8% Mn, up to 0.030% P, and up to 0.020% S; and therein the claw bending start temperature in the third step is a temperature of over Ar3 or up to Ar3-50° C., thereby achieving a depth of wrinkle flaws 10 present on the inner surface side of the curved claw of up to 0.5 mm.