DISEASE CHARACTERISTICS: Histologically proven non-Hodgkin's lymphoma that has relapsed or failed to achieve complete remission after first line induction chemotherapy Intermediate or high grade (including mantle cell, but excluding lymphoblastic disease) No more than 1 prior salvage chemotherapy regimen, e.g.: Dexamethasone, high dose cytarabine, and cisplatin (DHAP) Etoposide, methylprednisolone, high dose cytarabine, and cisplatin (ESHAP) Low grade No more than 2 prior salvage chemotherapy regimens, e.g.: Fludarabine, mitoxantrone, and dexamethasone (FND) ESHAP DHAP OR Histologically proven stage III or IV Hodgkin's disease that has relapsed or failed to achieve remission after combination induction chemotherapy Prior primary radiotherapy allowed if relapse is high risk (e.g., recurrence in radiation field, B symptoms, liver/marrow involvement) No more than 2 prior salvage chemotherapy regimens Allogeneic stem cell transplantation group: Availability of 6 antigen (A, B, and DR loci) HLA matched sibling donor No active CNS disease 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: 15 to 55 Performance status: ECOG 0 or 1 Life expectancy: Not specified Hematopoietic: Not specified Hepatic: Bilirubin no greater than 2.0 mg/dL SGOT and SGPT no greater than 3 times normal PT and PTT normal Renal: Creatinine no greater than 2.0 mg/dL Creatinine clearance at least 60 mL/min Cardiovascular: LVEF at least 45% by MUGA scan or echocardiogram No myocardial infarction within the past 6 months No arrhythmias unless medically controlled Pulmonary: FEV1 at least 50% predicted DLCO at least 50% predicted Other: No diabetes mellitus or thyroid disease unless medically controlled No active serious infection HIV negative Not pregnant or nursing Negative pregnancy test

PRIOR CONCURRENT THERAPY: See Disease Characteristics