Classical swine fever virus (CSFV) is a single‐stranded RNA flavivirus that can cause serious diseases in porcine species, including symptoms of infarction, systemic hemorrhage, high fever, or depression. Viperin is an important interferon‐inducible antiviral gene that has been shown to inhibit CSFV, but the exact mechanisms by which it is able to do so remain poorly characterized. In the present study, we determined that CSFV infection led to viperin upregulation in PK‐15 cells (porcine kidney cell). When viperin was overexpressed in these cells, this markedly attenuated CSFV replication, with clear reductions in viral copy number after 12 to 48 hours postinfection. Immunofluorescence microscopy revealed that the viral NS5A protein colocalized with viperin in infected cells, and this was confirmed via confocal laser scanning microscopy using labeled versions of these proteins, and by co‐immunoprecipitation which confirmed that NS5A directly interacts with viperin. When NS5A was overexpressed, this inhibited the replication of CSFV, and we determined that the radical SAM domain and N‐terminal domain of viperin was critical for its ability to bind to NS5A, with the latter being most important for this interaction. Together, our in vitro results highlight a potential mechanism whereby viperin is able to inhibit CSFV replication. These results have the potential to assist future efforts to prevent or treat systemic CSFV‐induced disease, and may also offer more general insights into the antiviral role of viperin in innate immunity.