A method of manufacture of a hollow stabilizer for automobiles which uses a heat-finished seamless steel pipe 20 as a material, comprising an inner surface and/or an outer surface of a part corresponding to a bending R portion A-B of the steel pipe 20 is polished to remove defects of the surface of the steel pipe, and after the above surface roughness is made less than Rmax 50 .mu.m, the part corresponding to the above bending R portion is previously formed an ellipse in section, and then the section after bending process accesses to a true circle to alleviate stress concentration of the bending part.