A new series of 4-substituted [(1,2,3-triazol-1-yl)acetamido]methylphosphonates as acyclic nucleotide analogs were synthesized from diethyl (2-chloroacetamido)methylphosphonate via azidation followed by 1,3-dipolar cycloaddition with selected alkynes derived from natural nucleobases or their mimetics. All compounds were tested for their antiviral activities against DNA and RNA viruses as well as for cytostatic activity or cytotoxicity. Among all tested compounds, [(1,2,3-triazol-1-yl)acetamido]methylphosphonate 6e substituted with the N(3)-Bz-benzuracil moiety showed activity against the vesicular stomatitis virus (EC50 = 45 µM) in HeLa cell cultures.