A gene fragment which comprises a DNA sequence coding for an amino acid sequence of a constant region of a canine immunoglobulin lambda chain, wherein the amino acid sequence is selected from the group consisting of an amino acid sequence such that the 8th and 7th amino acid residues at the N-terminal region of the first cysteine counted from the N-terminus of a polypeptide of the constant region of said lamda chain are glycine and alanine, respectively, an amino acid sequence such that the 11th, 10th and 9th amino acid residues at the N-terminal region of the second cysteine counted from the C-terminus of the polypeptide of the constant region of said lambda chain are proline, aspartic acid and lysine, respectively, or both.