Similarly, Washington also urged neighbouring countries to "reject unilateral measures and the use of force". Iraqi Kurdistan has always been known to have an overwhelming majority supporting secession, and the vote just reflected that.
"The northern Iraqi local government, which we have been giving all kinds of support for a long time, has taken a step despite my country's [strong objection]", Erdogan said.
The KRG said it would not comply with the order.
The Reuters news agency reports that at least two European carriers, Lufthansa and Austrian Airlines, will be cancelling flights to Irbil this weekend.
Arbil airport director Talar Faiq Salih said following a controversial independence referendum, all global flights without exception to and from Arbil will stop following a decision by the Iraqi cabinet.
Humanitarian workers say the flight cancellations could have a "dire impact" on the lives of the region's 1.6 million refugees and displaced people.
"The federal government control over land and aerial entrances to Kurdistan is not meant to cause starvation, hold supplies or besiege citizens, as some officials of the region claim", the statement said.
Turkish Prime Minister Bin Yildirim, speaking on Saturday, did not refer specifically to those plans, but said Ankara would no longer deal with Kurdish authorities in Erbil. Erdogan said in an appeal to Iraqi Kurdish leaders.
Turkey faces armed opposition from Kurdish separatists at home.
He had previously threatened to cut a vital Kurdish oil export pipeline and stop lorries crossing Turkey's border.
In his statement Mr. Tillerson reiterated that Washington continues to support a "united Iraq".
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