Oligoadenylate synthetase 3 (OAS3) and ribonuclease L (RNase L) are components of a pathway that combats viral infection in mammals. Upon detection of viral double-stranded RNA (dsRNA), OAS3 synthesizes 2'-5'-oligo(A), which activates the RNase domain of RNase L by promoting the homodimerization and oligomerization of RNase L monomers. Activated RNase L rapidly degrades all cellular mRNAs, shutting off several cellular processes. We sought to understand the molecular mechanisms underlying the rapid activation of RNase L in response to viral infection. Through superresolution microscopy and live-cell imaging, we showed that OAS3 and RNase L concentrated into higher-order cytoplasmic complexes known as dsRNA-induced foci (dRIF) in response to dsRNA or infection with dengue virus, Zika virus, or West Nile virus. The concentration of OAS3 and RNase L at dRIF corresponded with the activation of RNase L-mediated RNA decay. We showed that dimerized/oligomerized RNase L concentrated in a liquid-like shell surrounding a core OAS3-dRIF structure and dynamically exchanged with the cytosol. These data establish that the condensation of dsRNA, OAS3, and RNase L into dRIF is a molecular switch that promotes the rapid activation of RNase L upon detection of dsRNA in mammalian cells.