Chapter 8—Offences against humanity and related offences
Division 268—Genocide, crimes against humanity, war crimes and crimes against the administration of the justice of the International Criminal Court
Subdivision K—Miscellaneous
268.118 Double jeopardy
A person cannot be tried by a federal court or a court of a State or Territory for an offence under this Division if the person has already been convicted or acquitted by the International Criminal Court for an offence constituted by substantially the same conduct as constituted the offence under this Division.
Ne bis in idem - ICC
Ne bis in idem - State's own court
EDIT.