Lens epithelium–derived growth factor (LEDGF/p75) is a cellular cofactor of HIV-1 integrase that promotes viral integration by tethering the preintegration complex to the chromatin. By virtue of its crucial role in the early steps of HIV replication, the interaction between LEDGF/p75 and integrase represents an attractive target for antiviral therapy. We have rationally designed a series of 2-(quinolin-3-yl)acetic acid derivatives (LEDGINs) that act as potent inhibitors of the LEDGF/p75-integrase interaction and HIV-1 replication at submicromolar concentration by blocking the integration step. A 1.84-Å resolution crystal structure corroborates the binding of the inhibitor in the LEDGF/p75-binding pocket of integrase. Together with the lack of cross-resistance with two clinical integrase inhibitors, these findings define the 2-(quinolin-3-yl)acetic acid derivatives as the first genuine allosteric HIV-1 integrase inhibitors. Our work demonstrates the feasibility of rational design of small molecules inhibiting the protein-protein interaction between a viral protein and a cellular host factor.