Dodik is accused of having violated the country's constitution by banning federal police and judiciary from exercising their power in Republika Srpska, the Bosnian Serb entity within Bosnia and Herzegovina.
In late February, Dodik was sentenced to one year in prison and banned from holding political offices due to "separatist actions". The 65-year-old has dismissed the verdict.
Following the Dayton Peace Agreement in the USA in 1995, Bosnia and Herzegovina became an independent country with two self-governing parts: the Federation, where mainly Bosniaks and Bosnian Croats live, and Republika Srpska, where the majority are Bosnian Serbs.
The ethnic tensions from the 1990s bloody civil war have, however, persisted, not least since Dodik has raised the tone in recent years about a possible secession of the Bosnian Serb part of the country.