The J-PARC g-2/EDM experiment aims to measure the anomalous magnetic moment (g-2) and electric dipole moment (EDM) of the positive muon with a novel technique utilizing a low-emittance muon beam with momentum set at 0.3 GeV/c and a 66
cm-diameter compact muon storage ring without focusing electric field. This measurement will be complementary to the previous BNL E821 experiment and ongoing FNAL E989 experiment with the muon beam at the magic momentum 3.1GeV/c in a 14 m-diameter storage ring. In this seminar, I plan to present status and prospects of the experiment.