HIV latent reservoirs are the latent cells and tissues of HIV under the pressure of immune responses and antiviral therapy. Although HIV infection is effectively controlled by the advent of highly active antiretroviral therapy (HAART) and the viral load in the plasma is suppressed to a low level which are undetectable by most clinical measures, HAART is not able to completely eradicate the virus in the reservoirs. The viral rebound occurs when antiviral therapy is ceased. Therefore, the eradication of HIV reservoirs is a major challenge for the therapy of AIDS. In this paper, we will focus on the strategies of eradication of AIDS latent reservoirs.