The title compounds were synthesized respectively from methyl 2,3-anhydro-α- and β-D-lyxofuranoside (Ⅳ,α and β).This consists of: Methyl 2,3-anhydro-α- and β-D-lyxofuranoside (Ⅳ,α and β)→methyl 2,3-anhydro-5-O-toluene-ρ-sulphonyl-α- and β-D-lyxofuranosid ( Ⅴ,α and β )→methyl 2,3-anhydro-5-iodo-5-deoxy-α-and β-D-lyxofuranoside (Ⅵ,α and β)→methyl 2,3-anhydro-α-and β-D-lyxomethyloside (Ⅶ,a and β).All the intermediates are crystalline except the last ones.