In Part I, vaccinia-immune volunteers are randomized to one of two regimens. Group A receives priming with TBC-3B on days 0 and 56, followed by boosting on day 224 (8 months) with one of the following: TBC-3B, an alternative immunogen such as pseudovirion particles or a recombinant HIV-1 subunit or peptide vaccine, or placebo. Group B receives priming with control vaccine (DryVax), followed by boosting with an appropriate placebo. At least 50 percent of subjects in Part I will be observed for a minimum of 8 weeks before subsequent volunteers are enrolled in Part II. PER 11/18/94 AMENDMENT, Part I boosting is given on day 392. PER 5/19/95 AMENDMENT, Part I boosting is given on day 756 if not available on day 392; if the appropriate product is not available then, the study will end on day 756. In Part II, vaccinia-naive volunteers are randomized to one of three regimens. Group C receives TBC-3B on day 0 and saline placebo on day 56. Group D receives TBC-3B on days 0 and 56. Both Group C and D receive boosting with TBC-3B or an alternative immunogen on day 224. Group E receives control vaccine (DryVax) on days 0 and 56, followed by appropriate placebo on day 224. Per 06/10/94 addendum, volunteers will be contacted once or twice per year for at least 5 years to check on health status.