In a mature, infectious HIV-1 virion, the viral genome is housed within a conical capsid core made from the viral capsid (CA) protein. The CA protein and the structure into which it assembles facilitate virtually every step of infection through a series of interactions with multiple host cell factors. This Review describes our understanding of the interactions between the viral capsid core and several cellular factors that enable efficient HIV-1 genome replication, timely core disassembly, nuclear import and the integration of the viral genome into the genome of the target cell. We then discuss how elucidating these interactions can reveal new targets for therapeutic interactions against HIV-1.