DISEASE CHARACTERISTICS: Histologically proven high grade lymphoma (including small noncleaved) by lymph node biopsy OR acute lymphoblastic leukemia (ALL) by bone marrow aspiration and biopsy Lymphoblastic lymphoma: First remission allowed if elevated LDH or stage IV disease Early relapse allowed Must have CT of abdomen, pelvis, and chest obtained within 4-6 weeks prior to enrollment Measurable disease not required First remission transplantation is encouraged if poor prognostic indicators were present at diagnosis and the objective parameter of measure is long term disease free survival ALL: Patients with inaspirable bone marrow aspirate smears eligible if diagnosis confirmed by bone marrow core biopsy Any complete remission allowed All patients in relapse should have attempted reinduction of remission Patients in early relapse (defined as no greater than 20% lymphoblasts in bone marrow) eligible if bone marrow harvested while in remission (less than 5% blasts) Must be eligible for total body irradiation Negative CSF cytology within 4-6 weeks of enrollment No active CNS lymphoma or leukemia A new classification scheme for adult non-Hodgkin's lymphoma has been adopted by PDQ. The terminology of "indolent" or "aggressive" lymphoma will replace the former terminology of "low", "intermediate", or "high" grade lymphoma. However, this protocol uses the former terminology.

PATIENT CHARACTERISTICS: Age: Physiologic age 65 and under for autologous peripheral blood stem cell transplantation If age 55 and under, priority should be given to finding an allogeneic donor Performance status: ECOG 0 or 1 Life expectancy: Not specified Hematopoietic: See Disease Characteristics Hepatic: Bilirubin no greater than 2.0 mg/dL SGOT or SGPT less than 2 times normal Renal: Creatinine less than 2.0 mg/dL Cardiovascular: Cardiac ejection fraction at least 40% by MUGA scan or clearance by a cardiologist No myocardial infarction within the past 6 months No active angina pectoris Pulmonary: FEV1 and DLCO at least 50% predicted Other: No active serious psychiatric or medical illness that would preclude administration of high dose chemotherapy HIV negative Not pregnant Negative pregnancy test

PRIOR CONCURRENT THERAPY: Biologic therapy: Not specified Chemotherapy: See Disease Characteristics Endocrine therapy: Not specified Radiotherapy: See Disease Characteristics No prior radiotherapy greater than 25 Gy to the craniospinal axis Surgery: See Disease Characteristics