OUTLINE: This is a parallel, open label study. Patients are assigned to 1 of 3 treatment arms. Arm I: Patients receive cyclophosphamide IV on days -7 and -6 and total body irradiation (TBI) 3 times a day on days -4 through -1. Allogeneic bone marrow (ABM) is infused on day 0. Arm II: Patients receive therapy as in arm I, except TBI is administered twice a day on day -1 only. ABM is infused on day 0. Arm III: Patients receive cyclophosphamide IV on days -6 and -5 and TBI twice a day on days -3 through -1. ABM is infused on day 0. Males with ALL receive an additional radiation boost to the testes during TBI. Patients are followed at least every 6 months for 2 years, then annually thereafter.