An Achillea fragrantissima extract for treating chronic myeloid leukemia cells is made by the following steps: washing a mass of Achillea fragrantissima leaves and powdering the dried leaves. The leaves are dried over seven days and a kilo of the powder is extracted three times with methanol. The resulting material is concentrated and redissolved in water to form a concentration of 0.5 mg/mL and centrifuged to remove any undissolved material. The final Achillea fragrantissima extract may then be used to cause morphological changes in CML cells and treat humans with chronic myeloid leukemia.