Philadelphia chromosome-positive chronic myelogenous leukemia was diagnosed in a now 37-year old woman 16 years ago. Induction therapy with hydroxyurea and busulphan led to hematological remission lasting for about 4 months without treatment. Then, intermittent busulphan over a 7 years' period, and subsequently, alpha-interferon was given, of which ever decreasing doses (currently 3.5 megaunits interferon-alpha-2c once every 14 days) have been required to keep leukocyte counts in the target range. Although no major cytogenetic response was achieved by maintenance therapy, the patient has now been in an ongoing chronic phase of disease for 16 years. This is a rare case of indolent chronic myelogenous leukemia, in which, for undefined reasons, the leukemic cells have not acquired the capacity to transform leading to disease acceleration, which usually is imminent after a few years.