The relationships among coping responses, social support, personality factors, and psychological well-being in adults with acute leukemia in remission were studied. The psychological well-being measure was related to quality of life. Forty persons (21 male, 19 female), average age 47 years and average time since diagnosis of 24 months, completed demographic questions, the PRF-E, the Symptom Distress Scale, a Coping Responses inventory, the modified Social Support Questionnaire, and the General Behavior Inventory. An R of .80 was obtained between psychological well-being and Endurance, Affiliation, Cognitive Structure, Autonomy, and Nurturance. Findings were related to fighting spirit and confronting coping style, concepts associated with psychological well-being and longevity in cancer patients.