Senecavirus A (SVA) is a member of the Picornaviridae family, Senecavirus genus. The outbreak of swine vesicular disease caused by SVA has presented a significant threat to pig husbandry and public health, resulting in substantial economic losses. In this study, recombinant SVA 3AB and 3C proteins were expressed in the prokaryotic system, purified, and utilized to generate eight monoclonal antibodies (mAbs) specific to SVA 3AB or 3C proteins. Three B-cell epitopes recognized by these mAbs were subsequently identified by Western blotting. The mAbs 3G3, 3D6, and 3B7 against 3AB recognize the epitope NAYDGPKKNS; the mAbs 2C10, 2C8, and 2D12 against 3C recognize the epitope FTHHGLPTDL, and the mAbs 3C4 and 4A11 against 3C recognize the epitope DQMPARNSRV. Moreover, all three epitopes are highly conserved in different SVA strains and are exposed on the surface of 3AB or 3C proteins, potentially representing important B-cell epitopes. This study constitutes the first report of SVA nonstructural protein epitopes, which may be beneficial for developing innovative detection methods and vaccines and for investigating the roles of 3AB and 3C in viral replication.