Patients enter the study in staggered groups of five. All patients receive AZT orally every 4 hours for 12 weeks. At the end of 8 weeks, the first group of five patients receive the lowest dosage of IL-2 on a daily basis while still receiving AZT. Toxicity and immunologic effects are measured at the beginning of AZT therapy and then every 2 weeks. Each succeeding group of five patients receives a higher dose of IL-2, while receiving AZT, until the MTD is reached. Those patients who have shown no toxicity as well as improved immune function while taking both drugs receive a 4-week follow-up course of IL-2 5 weeks after stopping AZT. In addition, five patients who have completed the AZT / IL-2 combined treatment without significant toxicity are re-treated with 12 weeks of AZT alone starting 8 weeks after completing the initial combined AZT / IL-2 portion of treatment. Another five patients will be re-treated with 12 weeks of full dose of AZT alone, followed by 8 weeks of half-dose AZT alone starting 8 weeks after completing the initial combined AZT / IL-2 treatment. Patients receive ibuprofen for fever and chills, and those who reach their MTD continue to receive that dose in combination with AZT for 4 weeks. If excess toxicity is observed on all doses of IL-2, the study will be discontinued.