Viral infections pose a significant threat to human health, and effective antiviral strategies are urgently needed. Antiviral peptides have emerged as a promising class of therapeutic agents due to their unique properties and mechanisms of action. While effective on their own, combining antiviral peptides may allow us to enhance their potency and to prevent viral resistance. Here, we developed an orthogonal chemical strategy to prepare a heterodimeric peptide conjugate assembled on a protein-based nanoplatform. Specifically, we combined the optimized version of two peptides inhibiting HIV-1 by distinct mechanisms. Virus-inhibitory peptide (VIRIP) is a 20 amino acid fragment of α1-antitrypsin that inhibits HIV-1 by targeting the gp41 fusion peptide. Endogenous peptide inhibitor of CXCR4 (EPI-X4) is a 16-residue fragment of human serum albumin that prevents HIV-1 entry by binding to the viral CXCR4 co-receptor. Optimized forms of both peptides are assembled on supramolecular nanoplatforms through the streptavidin-biotin interaction. We show that the construct consisting of the two different peptides (SAv-VIR-102C9-EPI-X4 JM#173-C) shows increased activity against CCR5- and CXCR4-tropic HIV-1 variants. Our results are a proof of concept that peptides with different modes of action can be assembled on nanoplatforms to enhance their antiviral activity.