The nucleoprotein (NP) binds the viral RNA genome and associates with the polymerase in a ribonucleoprotein complex (RNP) required for transcription and replication of influenza A virus. NP has no cellular counterpart, and the NP sequence is highly conserved, which led to considering NP a hot target in the search for antivirals. We report here that monomeric nucleoprotein can be inhibited by a small molecule binding in its RNA binding groove, resulting in a novel antiviral against influenza A virus. We identified naproxen, an anti-inflammatory drug that targeted the nucleoprotein to inhibit NP-RNA association required for NP function, by virtual screening. Further docking and molecular dynamics (MD) simulations identified in the RNA groove two NP-naproxen complexes of similar levels of interaction energy. The predicted naproxen binding sites were tested using the Y148A, R152A, R355A, and R361A proteins carrying single-point mutations. Surface plasmon resonance, fluorescence, and other in vitro experiments supported the notion that naproxen binds at a site identified by MD simulations and showed that naproxen competed with RNA binding to wild-type (WT) NP and protected active monomers of the nucleoprotein against proteolytic cleavage. Naproxen protected Madin-Darby canine kidney (MDCK) cells against viral challenges with the H1N1 and H3N2 viral strains and was much more effective than other cyclooxygenase inhibitors in decreasing viral titers of MDCK cells. In a mouse model of intranasal infection, naproxen treatment decreased the viral titers in mice lungs. In conclusion, naproxen is a promising lead compound for novel antivirals against influenza A virus that targets the nucleoprotein in its RNA binding groove.