This study has 2 regimens of 8 patients each. Patients are randomized as to CTL infusion only. Patients are stratified by viral load (less than 10,000 copies/ml vs. greater than or equal to 10,000 copies/ml). All patients receive combination drug therapy with AZT/3TC/indinavir for 9 months at which time patients have the option of continuing their study regimen another year or changing therapy. Patients in the T cell treatment regimen (regimen 2) receive 2 infusions of ex vivo expanded autologous anti-HIV CTL at 3 and 6 months after beginning AZT/3TC/indinavir therapy. The second infusion is administered with low-dose sc IL-2 1 day before and 4 days following T cell infusion.