A process for producing a sugar chain or complex carbohydrate, which comprises the steps of using a transformant harboring a recombinant vector comprising DNA or RNA encoding (i) a polypeptide comprising SEQ ID NO:1, (ii) a polypeptide comprising positions 39 to 378 of SEQ ID NO:1, and (iii) a polypeptide comprising an amino acid sequence having 95% or more of homology with the amino acid sequence in the polypeptide according to (i) or (ii), and has β1,3-N-acetylglucosaminyltransferase activity to produce and accumulate a sugar chain comprising a saccharide selected from the group consisting of GlcNAcβ1-3Galβ1-4Glc-ceramide, a lacto-series glycolipid (a glycolipid having Galβ1-3GlcNAcβ1-3Galβ1-4Glc-ceramide as a backbone), a neolacto-series glycolipid (a glycolipid having Galβ1-4GlcNAcβ1-3Galβ1-4Glc-ceramide as a backbone), a saccharide having GlcNAcβ1-3Gal structure, a saccharide having GlcNAcβ1-3Galβ1-4GlcNAc structure, a saccharide having GlcNAcβ1-3Galβ1-3GlcNAc structure, a saccharide having GlcNAcβ1-3Galβ1-4Glc structure, a saccharide having (Galβ1-4GlcNAcβ1-3)nGalβ1-4G1cNAc structure wherein n is 1 or more and a saccharide having a (Galβ1-4GlcNAcβ1-3)nGalβ1-4Glc structure wherein n is 1 or more, or a complex carbohydrate containing the sugar chain, and recovering the sugar chain or complex carbohydrate from the culture.