A method of administering an herbal composition, comprising geranium oil and extracts from roots of the plants of the genus Sophora to mammalian animals undergoing cancer treatments that induce bone marrow suppression side effect, such as chemotherapy and radiation therapy. The composition can be in the form of an oil capsule, tablets, pills, and pastes and administered orally at specific dosages. The composition can also take on the form of an injection to be administered intravenously and intraperitoneally at specific dosages. The administration can be made before and or after the cancer treatment.