In experimenting with the lateral buckling of beams, there will be no lateral deflection, including torsion, up to the critical load in an ideal case. But actually, owing to various kinds of imperfections, the beam begins so deflect laterally, including torsion, with the beginning of loading. Thus the critical load is difficult to measure directly. In this paper, a modified Southwell's method is proposed to determine the critical load from the test data on the load and the reactive torsional moment at a clamped end of the beam. Experimenting with cantilever beams by using the multi-component loadcell developed by the authors, each critical load determined by the method agrees well with the theoretical value.