HIV integrase is a rational target for treating HIV infection and preventing AIDS. It took approximately 12 years to develop clinically usable inhibitors of integrase, and Phase I clinical trials of integrase inhibitors have just begun. This review focuses on the molecular basis and rationale for developing integrase inhibitors. The main classes of lead compounds are also described, as well as the concept of interfacial inhibitors of protein-nucleic-acid interactions that might apply to the clinically used strand-transfer inhibitors.