Bicyclic furanopyrimidine nucleoside analogues (BCNAs) have been previously reported as potent and selective anti-varicella-zoster virus (VZV) agents. Few modifications on the sugar moiety have been considered so far but some of them have shown interesting activity against human cytomegalovirus (HCMV) while losing activity against VZV. In addition, recent work has led to an entirely new series of anti-HCMV bicyclic furopyrimidine agents, acting through a non-nucleoside mechanism. In order to further investigate structure-activity relationship studies on the sugar moiety, some 3'- and 5'-chloro derivatives and 5'-deoxygenated derivatives have been synthesized. The lack of anti-VZV activity of the 5'-modified derivatives is further proof of a mechanism of action involving VZV thymidine kinase (TK)-mediated phosphorylation. Similarly, the replacement of the 3'-OH with chlorine showed a decrease of antiviral activity, which can be correlated to the lack of interaction with VZV TK as demonstrated by enzyme assays. These results confirm free 5'-OH and 3'-OH as necessary requirements for efficient recognition by VZV TK and for potent anti-VZV activity in cell culture.