We describe a simple method for the synthesis of modified dinucleosides containing pyrimidine nucleoside analogues (2'-deoxyuridine, thymidine and 5-fluoro-2'-deoxyuridine). Six different dimers with a 1,2,3-triazole linkage were obtained by azide-alkyne 1,3-dipolar cycloaddition (click reaction), starting from propargylated 2'-deoxyuridine and 5'-azido-nucleoside derivatives. Their cytotoxic activity was tested in five human cancer cell lines: cervical (HeLa), high grade gliomas (U-118 MG, U-87 MG, T98G), liver (HepG2), and normal human fibroblast cell line (MRC-5) using the sulforhodamine B (SRB) assay. The experiment showed that the obtained dimers with a 1,2,3-triazole moiety were very stable compounds, also in the physiological-like media, and had no anticancer activity.