A 60-member 1,2,3-triazoles bearing biologically active sulfonamide moiety library was synthesized via azide-alkyne cycloaddition and examined for cytotoxic activity against human leukemia cell line HL-60. 25 of them were evaluated further in four additional cancer cell lines (HepG2, A549, PC3, SGC7901). Most of the 25 compounds showed moderate cytotoxic activities against the tested cell lines. Furthermore, the structure-activity relationships were discussed and a reliable 3D-QSAR model with good prediction (r²cv = 0.64, r² = 0.958) was generated on the basis of our synthesized 1,2,3-triazoles for their cytotoxic activities against the HL-60 cell line. The contour map of the CoMFA should aid in the design of new antitumor agents.