While the flanges of cold-formed hollow flange beams (HFBs) are very stiff torsionally, their webs are comparatively flexible, and may allow web distortion effects to reduce their resistances to lateral buckling. There is no simple formulation for predicting the effects of web distortion on the lateral buckling of HFBs. As a result, structural designers are unable either to check or to extend the available elastic buckling predictions; thus code writers are not able to provide explicit formulations for the effects of distortion. The conversion from elastic buckling to strength for HFBs is also questionable, since cold-formed beams have different stress-strain curves, residual stresses, and geometrical imperfections from those of hot-formed beams. This paper deals with these problems, first by finding a simple but sufficiently accurate closed-form solution for the effects of distortion on the elastic lateral buckling of simply supported HFBs in uniform bending, and then by developing an advanced theoretical method of predicting the effects of the stress-strain curve, residual stresses, and geometrical imperfections on the strengths of HFBs that fail by lateral-distortional buckling. Such a method allows the development of a conversion from elastic buckling to strength, which is appropriate for HFBs. The use of this conversion together with the simple approximation developed here for elastic lateral-distortional buckling provides a rational basis for the lateral buckling design of unbraced HFBs.