Chronic myelogenous leukemia (CML) may have a biphasic or triphasic course, whereby patients who were initially diagnosed in the chronic phase (CP) develop more aggressive disease, frequently pass through an intermediate or accelerated phase (AP), and finally evolve into an acute leukemia like blastic phase (BP). A slowing in the rate of development of AP or BP has accompanied successive improvements in therapy for patients who have CP CML. Variable diagnostic criteria for AP and BP are used in the literature, rendering comparisons difficult. The management of patients in AP or BP consistently has been less effective than the management of those inCP for all modalities of therapy. This article reviews the current diagnostic criteria, therapeutic strategies, outcomes, and investigational therapies for AP and BP CML.