DISEASE CHARACTERISTICS: Must have a 6 antigen HLA identical related donor and one of the following diseases: -Acute myelogenous leukemia in high risk first complete remission or second or greater complete remission -Acute lymphocytic leukemia in high risk first complete remission or second or greater remission -Chronic myelogenous leukemia in chronic phase -Indolent non-Hodgkin's lymphoma (NHL) or aggressive NHL in complete or partial remission, not eligible for autologous bone marrow transplant (ABMT) -Multiple myeloma in complete or partial response -Myelodysplastic syndrome -Stage III or IV chronic lymphocytic leukemia -Hodgkin's disease after first complete remission Patients must also have one of the following high risk features: -Age 55-70 -Age 18-54 must have one of the following conditions: LVEF 35-44% FEV1 or FVC 40-49% Bilirubin 2.1-3.0 mg/dL, AST 71-175, or ALT 81-200 Creatinine 2.1-3.0 mg/dL Disease recurrence less than 1 year after ABMT Between 18 to 24 months of prior chemotherapy (12 to 24 months for multiple myeloma)

PATIENT CHARACTERISTICS: Age: 18 to 70 Performance status: ECOG 0-2 Life expectancy: Not specified Hematopoietic: Not specified Hepatic: Bilirubin less than 3.1 mg/dL Renal: Creatinine less than 3.1 mg/dL Cardiovascular: LVEF at least 35% Pulmonary: FEV1 and FVC at least 40% of predicted (60% for patients who have received thoracic or mantle radiotherapy) Other: Not pregnant Fertile patients must use effective contraception Not HIV positive

PRIOR CONCURRENT THERAPY: See Disease Characteristics