In an extreme ultra violet light source apparatus that exhausts debris including fast ions and neutral particles by the effect of a magnetic field, neutral particles emitted from plasma are efficiently ionized. The extreme ultra violet light source apparatus includes a plasma generating unit that generates plasma, that radiates at least extreme ultra violet light, through pulse operation; collective optics that collects the extreme ultra violet light radiated from the plasma; a microwave generating unit that radiates microwave through pulse operation into a space in which a magnetic field is formed to cause electron cyclotron resonance, and thereby ionizes neutral particles emitted from the plasma; a magnetic field forming unit that forms the magnetic field and a magnetic field for trapping at least ionized particles; and a control unit that synchronously controls at least the plasma generating unit and the microwave generating unit.