Inclusion Criteria

Children may be eligible for this study if they:

• Are HIV-positive with no symptoms or moderate symptoms.
• Are between 1 and 8 years old (consent of parent or guardian required).
• Have had a CD4 cell count greater than 200 for the past 3 months. If a child had a lower CD4 count before this time, then he/she must have been on stable anti-HIV therapy for the past 3 months.

Exclusion Criteria

Children will not be eligible for this study if they:

• Have had an infection or a fever of 101 F or higher in the past 3 days.
• Have had chickenpox or shingles. (This study has been changed. Children who had VZV infections were eligible originally.)
• Have been exposed to chickenpox or shingles in the past 4 weeks.
• Live with someone who is HIV-positive or who has a lowered immune system.
• Have certain serious diseases including tuberculosis or a disease of the immune system (other than HIV infection).
• Are allergic to any part of the chickenpox vaccine, including neomycin.
• Have recently had certain treatments or might be taking certain treatments during the study such as aspirin, VZIG, IVIG, other vaccines, steroids, anti-herpes medications, blood products, or drugs that might interfere with the immune system.