This document summarizes the immune response to HIV infection. It discusses how CD4 T-cells, cytotoxic T-cells, B-cells, and antigen presenting cells respond to HIV. Cytotoxic T-cells target many HIV proteins but often cannot eliminate the virus due to epitope escape, exhaustion, or suboptimal responses. Antibody responses have difficulty neutralizing HIV due to properties of the gp120 and gp41 envelope proteins. The immune response ultimately fails to clear HIV because the virus can integrate into genes, mutate, and impair antigen presenting cell function.