Francium (Fr), which is the alkali atom in the 7th period, can be obtained as ultracold atoms with laser cooling and trapping techniques, and could be employed for the experiments on searches for the permanent electric dipole moment (EDM) of an electron. In order to improve the sensitivity of the electron EDM search, development of a high-intensity source of Fr atoms is essential. We demonstrated a production of a high intensity Fr-210 ion beam with a rate of 5 x 10(6) ions/s by a fusion reaction with bombardment of an accelerated O-18 beam onto a fixed gold target in RIKEN. The Fr products inside the gold target were extracted from the gold surface as an ion beam focused with an electrostatic field. We also discussed the method to produce Fr-221 by alpha-decay of (225)AC. A neutron-rich Fr-221 isotope can be obtained as a daughter nucleus of this decay.