The object of the present invention is to provide an alpha -isomaltosylglucosaccharide-forming enzyme, process of the same, cyclotetrasaccharide, and saccharide composition comprising the saccharide which are obtainable by using the enzyme; and is solved by establishing an alpha -isomaltosylglucosaccharide-forming enzyme which forms a saccharide, having a glucose polymerization degree of at least three and having both the alpha -1,6 glucosidic linkage as a linkage at the non-reducing end and the alpha -1,4 glucosidic linkage other than the linkage at the non-reducing end, by catalyzing the alpha -glucosyl-transfer from a saccharide having a glucose polymerization degree of at least two and having the alpha -1,4 glucosidic linkage as a linkage at the non-reducing end without substantially increasing the reducing power; alpha -isomaltosyl-transferring method using the enzyme; method for forming alpha -isomaltosylglucosaccharide; process for producing a cyclotetrasaccharide having the structure of cycloä->;6)- alpha -D-glucopyranosyl-(1->;3)- alpha -D-glucopyranosyl-(1->;6)- alpha -D-glucopyranosyl-(1->;3)- alpha -D-glucopyranosyl-(1->;ü using both the alpha -isomaltosylglucosaccharide-forming enzyme and the alpha -isomaltosyl-transferring enzyme; and the uses of the saccharides obtainable therewith.