Therapies to eradicate human immunodeficiency virus (HIV) infection, sparing lifelong antiviral therapy, are a still-distant goal. But significant advances have been made to reverse HIV latency while antiretroviral therapy (ART) is maintained to allow targeting of the persistent viral reservoir, to test interventions that could clear cells emerging from latent infection, and to improve HIV cure research assays and infrastructure. Steady progress gives hope that future therapies to clear HIV infection may relieve individuals and society of the burden of HIV.