The purpose of this study is to evaluate the safety and efficacy of the tyrosine kinase inhibitor, imatinib mesylate (Gleevec ) in reducing peripheral blood eosinophilia in patients with the myeloid form of hypereosinophilic syndrome (HES). Patients with the hypereosinophilic syndrome who meet a set of criteria designed to select patients with the myeloid form of the disease, as well as patients without myeloid disease who are refractory to standard therapy for HES, will be admitted on this protocol. A thorough clinical evaluation will be performed with emphasis on potential sequelae of eosinophil-mediated tissue damage. A baseline bone marrow will be obtained to exclude leukemia or lymphoma and to assess the degree and nature of eosinophilopoiesis. Bone marrow, blood cells and/or serum will also be collected to test for the presence of a recently described mutation that is associated with imatinib-responsiveness in HES, and to provide reagents (such as DNA, RNA, and specific antibodies) and for use in the laboratory to address issues related to the mechanism of action of imatinib mesylate in HES. Imatinib mesylate will be initiated at a dose of 400 mg daily, the FDA-approved dose for the treatment of chronic myelogenous leukemia. In patients who demonstrate a complete clinical and hematologic response to imatinib therapy and who do not have life-threatening disease, the dose will be decreased gradually to 100mg daily and then discontinued. In order to minimize bone marrow suppression, other myelosuppressive agents will be tapered and discontinued during the first week of therapy with imatinib mesylate. Complete blood counts will be performed weekly for the first month and biweekly thereafter. Clinical assessments will be performed every three months to assess progression of end organ damage.