Natural killer (NK) cells are circulating lymphocytes that function in innate immunity and placental reproduction. Regulating both development and function of NK cells is an array of variable and conserved receptors that interact with major histocompatibility complex (MHC) class I molecules. Families of lectin-like and immunoglobulin-like receptors are determined by genes in the natural killer complex (NKC) and leukocyte receptor complex (LRC), respectively. As a consequence of the strong, varying pressures on the immune and reproductive systems, NK cell receptors and their MHC class I ligands evolve rapidly, are highly diverse and exhibit dramatic species-specific differences. The variable, polymorphic family of killer cell immunoglobulin-like receptors (KIR) that regulate human NK cell development and function arose recently, from a single-copy gene during the evolution of simian primates. Our studies of KIR and MHC class I genes in representative species show how these two unlinked but functionally intertwined genetic complexes have co-evolved. In humans, combinations of KIR and HLA class I factors are associated with infectious diseases, including HIV/AIDS, autoimmunity, reproductive success and the outcome of therapeutic transplantation. The extraordinary, and unanticipated, divergence of human NK cell receptors and MHC class I ligands from their mouse counterparts can in part explain the difficulties experienced in finding informative mouse models for human diseases. Non-human primate models have far greater potential, but to realize their promise will first require more complete definition of the genetics and function of KIR and MHC variation in non-human primate species, at a level comparable to that achieved for the human species.