Abstract: Search for Beyond Standard Model physics is one of the most important tasks of particle physics. Within the high intensity frontier, muon physics experiments including charge Lepton Flavor Violation, Muon g-2 & Muon EDM, muonium to anti-muonium transition are exciting research areas for new physics. The status and prospect of those experiments around the world are introduced in this paper, and especially, the possible breakthroughs from experiments hosted by China in future are showed.