The present invention relates to a process for converting lutein and/or lutein esters to (3R)-β-cryptoxanthin and (3R,6′R)-α-cryptoxanthin, suitable for human consumption as dietary supplements, by employing safe and environmentally friendly reagents. (3R)-β-Cryptoxanthin and (3R,6′R)-α-cryptoxanthin are two rare food carotenoids that are not commercially available and the former exhibits vitamin A activity. In the first synthetic step, commercially available lutein and/or lutein esters are transformed into a mixture of dehydration products of lutein (anhydroluteins) in the presence of a catalytic amount of an acid. The resulting anhydroluteins are then converted to (3R)-β-cryptoxanthin (major product) and (3R,6′R)-α-cryptoxanthin (minor product) by heterogeneous catalytic hydrogenation employing transition elements of group VIII (Pt, Pd, Rh supported on alumina or carbon) in a variety of organic solvents under atmospheric pressure of hydrogen and at temperatures ranging from −15° C. to 40° C. Among these catalysts, Pt supported on alumina at 40° C. in ethyl acetate provides the best yield of (3R)-β-cryptoxanthin and (3R,6′R)-α-cryptoxanthin. Several homogeneous catalysts can also promote the regioselective hydrogenation of anhydroluteins to a mixture of (3R)-β-cryptoxanthin and (3R,6′R)-α-cryptoxanthin in low to moderate yields. The catalysts may be transition metal complexes such as palladium acetylacetonate, Rh(Ph3P)3Cl (Wilkinson's catalyst), [(C6H11)3P[C8H12][C5H5N]Ir+PF6− (Crabtree catalyst), or [C8H12][(MePh2P)2]Ir+PF6−. Among these, Wilkinson catalyst converts anhydroluteins to (3R)-β-cryptoxanthin and (3R,6′R)-α-cryptoxanthin in nearly quantitative yield. A novel feature of this invention is the regioselective hydrogenation of anhydroluteins while the highly conjugated polyene chain of these carotenoids remains intact.