Dengue virus (DENV) infection is a worldwide public health problem with an increasing magnitude. The severity of disease in the patients with DENV infection correlates with high viral load and massive cytokine production – the condition referred to as “cytokine storm”. Thus, concurrent inhibition of DENV and cytokine production should be more effective for treatment of DENV infection. In this study, we investigated the effects of the antiviral agent – ribavirin (RV), and the anti-inflammatory compound – compound A (CpdA), individually or in combination, on DENV production and cytokine/chemokine transcription in human lung epithelial carcinoma (A549) cells infected with DENV. Initially, the cells infected with DENV serotype 2 (DENV2) was studied. The results showed that treatment of DENV-infected cells with RV could significantly reduce both DENV production and cytokine (IL-6 and TNF-α) and chemokine (IP-10 and RANTES) transcription while treatment of DENV-infected cells with CpdA could significantly reduce cytokine (IL-6 and TNF-α) and chemokine (RANTES) transcription. Combined RV and CpdA treatment of the infected cells showed greater reduction of DENV production and cytokine/chemokine transcription. Similar results of this combined treatment were observed for infection with any one of the four DENV (DENV1, 2, 3, and 4) serotypes. These results indicate that combination of the antiviral agent and the anti-inflammatory compound offers a greater efficiency in reduction of DENV and cytokine/chemokine production, providing a new therapeutic approach for DENV infection.