Design: This is a Phase I study of the safety and tolerability of AAV8-VRC07 (VRC-HIVAAV070-00-GT) expressing VRC07 human monoclonal antibody with broad HIV-1 neutralizing activity in HIV-1 infected adults. It is a dose-escalation study to examine pharmacokinetics of VRC07 expression following intramuscular (IM) administration of AAV8-VRC07 in subjects on anti-retroviral therapy (ARV). The hypotheses are: 1) AAV8-VRC07 will be safe for human administration and will not elicit hypersensitivity or anti-drug antibody (ADA) to VRC07; and 2) intramuscular delivery of AAV8-VRC07 will result in production of biologically active VRC07 antibody at a concentration in serum that is measurable and safe.