An Iraqi court has ordered the arrest of members of the Kurdistan Regional Government who organised a referendum on the region's independence last month, according to reports.

The Rusafa investigation court, located in Baghdad, issued an arrest warrant for the head and members of the commission which supervised the Kurdish independence referendum, Rudaw reported.

Judge Abdulstar Bayraqdar, a spokesman for the high judicial council, said: “The verdict was issued after the National Security Council filed a lawsuit arguing that the referendum was contrary to the decision of the high federal court."

Kurds in the northeastern Syrian city of Qamishli turn out to support the independence referendum in Iraq's autonomous northern Kurdish region (AFP/Getty Images)

The Iraqi government denounced the referendum as "unconstitutional," and Prime Minister Haider al-Abadi demanded Kurdish authorities "cancel" the referendum and its results.

The United Nations has offered to help "solve the problem" between the Iraqi government and the Kurdistan Regional Government.

Almost 93 per cent of Iraqi Kurds who took part in the referendum voted for independence and a formal split from Baghdad in order to form an autonomous Kurdish region.

Kurdish Peshmerga soldiers at a polling station in Irbil (EPA)

The Trump administration said it does not recognise the referendum and warned "the vote and the results lack legitimacy."