A small library of thirty-two 2′-triazolyl uridine and 2′-triazolyl-5-methyluridine has been synthesized by Cu(I)-catalyzed condensation of 2′-azido-2′-deoxyuridine and 2′-azido-2′-deoxy-5-methyluridine with different alkynes and aryl propargyl ethers in almost quantitative yields. Triazolo-nucleoside conjugates, which can be evaluated for different biological activity for suitable drug development, were unambiguously identified on the basis of 1H NMR, 13C NMR, IR, and HRMS data analysis. These compounds have been synthesized for the first time and have not been reported in the literature earlier.