A saccharide composition comprising a glucosyl- transferred saccharide produced by contacting β-D-glucose-1-phosphoric acid and/or its salt and other saccharide with a kojibiose phosphorylase which catalyzes the phosphorolysis of kojibiose in the presence of an inorganic phosphoric acid and/or its salt to form D-glucose and β-D-glucose-1-phosphoric acid and/or its salt, wherein the glucosyl-transferred saccharide is a member selected from the group consisting of α-D-glucosyl-(1→5)-L-sorbose, kojibiosylglucose, kojibiosylglucoside, kojibiosylfructoside and mixtures thereof.