The invention provides a medicinal composition for treating gynecologic cancer, prostatic cancer, bladder cancer and liver cancer, which contains flavonoids compounds of formula I. The flavonoids compounds have the activities of poisoning cancer cells, and arrest the cancer cells at S and G2/M periods by regulating and controlling cyclin of the cancer cells. Moreover, the flavonoids compounds regulate and control signal transduction paths of caspase-3, PARP, p-38 MAPK, JNK 1/2 and the like to induce the cell apoptosis. The flavonoids compounds can effectively inhibit xenoplastic transplantation cancer cells of naked mice, but have no side effect. The flavonoids compounds and platinum diaminodichloride have cooperative poisoning effect on the cancer cells.