We reported herein the design, synthesis and biological evaluation of a series of 5-hydroxypyrido[2,3-b]pyrazin-6(5H)-one derivatives as HIV-1 reverse transcriptase (RT) ribonuclease H (RNase H) inhibitors using a privileged structure-guided scaffold refining strategy. In view of the similarities between the pharmacophore model of RNase H and integrase (IN) inhibitors as well as their catalytic sites, we also performed IN inhibition assays. Notably, the majority of these derivatives inhibited RNase H and IN at micromolar concentrations. Among them, compound 7a exhibited similar inhibitory activity against RNase H and IN (IC = 1.77 μM, IC = 1.18 μM, ratio = 1.50). To the best of our knowledge, this is the first reported dual HIV-1 RNase H-IN inhibitor based on a 5-hydroxypyrido[2,3-b]pyrazin-6(5H)-one structure. Molecular modeling has been used to predict the binding mode of 7a in complex with the catalytic cores of HIV-1 RNase H and IN. Taken together these results strongly support the feasibility of developing HIV-1 dual inhibitors from analog-based optimization of divalent metal ion chelators. Recently, the identification of dual inhibitors proved to be a highly effective strategy for novel antivirals discovery. Therefore, these compounds appear to be useful leads that can be further modified to develop more valuable anti-HIV-1 molecules with suitable drug profiles.