Based on the technique of fragment-induced spin polarization combined with the β-NMR method, a series of experiments has been carried out at RIKEN for the nuclear-moment measurement of light unstable nuclei. The measurement will be extended further in the RIKEN RIBF project, where radioactive-isotope beams in the medium- and heavy-mass regions will be produced at higher energies and with higher intensities compared with the RARF facility. Measurements of the isomeric-state nuclear moments of unstable nuclei will be started with BigRIPS by utilizing fragment-induced spin-orientation phenomena. Also, an upgrade program of the existing fragment separator RIPS is proposed in the phase-II program of RIBF. Then, intense beams will be delivered to RIPS at E ∼ 115 A MeV. This energy region is useful, not only because spin orientation is produced in the PF reaction but also they can be implanted into sample materials with limited thickness.