DISEASE CHARACTERISTICS: Diagnosis of any of the following hematologic malignancies: Multiple myeloma Non-Hodgkin's lymphoma Indolent OR Relapsed or primary refractory high grade or intermediate grade in complete remission (CR) or partial remission (PR) after salvage chemotherapy or autologous bone marrow transplantation Hodgkin's disease Relapsed or primary refractory in CR or PR after salvage chemotherapy or autologous bone marrow transplantation Chronic lymphocytic leukemia Chronic myeloid leukemia Myelodysplastic syndrome Acute myeloid leukemia with high risk CR1 or second or greater CR Acute lymphocytic leukemia with high risk CR1 or second or greater CR Must have a 6 antigen HLA identical sibling donor Must have one of the following conditions that confer an increased risk for undergoing allogeneic bone marrow transplantation after myeloablative preparative regimen: Over 55 years of age AST or ALT greater than 2.5 times upper limit of normal (ULN) Bilirubin greater than 1.8 times ULN Renal dysfunction with creatinine greater than 1.5 mg/dL (after 12 courses of prior cytotoxic therapy) Undergone one or more prior autologous bone marrow transplantations Refuse to undergo allogeneic bone marrow transplantation using a myeloablative preparative regimen 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.