"Parliament demands that the head of the army (Prime Minister Haider al-Abadi) deploy forces in all of the zones the autonomous region of Kurdistan has taken control of since 2003," a resolution said.
The non-binding vote, initiated by veteran leader Massud Barzani, has angered not only Iraq's federal government but also neighbouring Turkey and Iran, who are concerned it could stoke separatist aspirations among their own sizeable Kurdish minorities.
Iran closed its border with Iraqi Kurdistan on Monday in the latest move by neighbouring countries to put pressure on the Iraqi Kurds.
The United States and other Western nations have also raised concerns, saying the vote could hamper the fight against the Islamic State jihadist group in which cooperation between Baghdad and the Kurds has been key.
Kurdish flags were festooned in all the streets, on cars and outside homes across Iraqi Kurdistan.
Voters headed to the polls early Monday, many men dressed in traditional Kurdish dress of brown shirt and billowing trousers for the occasion.
Young girls wore caps emblazoned with the Kurdish colours of red, white, green and yellow, and regional flags around their necks and shoulders.
"I came very early to be the first to vote for a Kurdish state," Diyar Abubakr, 33, said outside a polling station in regional capital Arbil.
"It's a day of celebration today. That's why I've put on our traditional outfit, which I bought for the occasion," he said.
Erdogan says Turkey to close Iraqi border, warns Kurds on oil
Turkish President Recep Tayyip Eddogan said on Monday that Ankara would close its border with northern Iraq over an independence referendum and threatened the Iraqi Kurds with blocking their key oil exports.
"Entrance-exit will be closed" at the Habur border crossing, Erdogan said in a speech as he angrily denounced Monday's referendum as "illegitimate".
He added: "After this let's see... who they sell (their oil) to. The valve is with us. It's finished the moment we close it."
Cow slaughtered
One voter even brought a cow to slaughter before the start of the referendum.
"I brought this cow as today the state is born and it's tradition to slaughter a cow for a birth," Dalgash Abdallah, 27, said.
Initial results are expected to be announced 24 hours after polls close. An overwhelming "Yes" outcome is expected, but Kurdish officials have said there are no plans for an immediate declaration of independence.
Barzani, smiling and wearing a traditional outfit, cast his vote early in the morning.
Polling stations are scattered across the three northern provinces of autonomous Iraqi Kurdistan -- Arbil, Sulaimaniyah and Dohuk -- as well as in disputed bordering zones such as the oil-rich province of Kirkuk.
In Sulaimaniyah, second city of the autonomous region, 40-year-old Diyar Omar came to cast his vote also wearing traditional clothes.
"We will seize our independence through the polls," he said.
"I'm so happy I could take part in this independence vote during my lifetime," he added.
A total of 12,072 polling stations are open for more than 5.3 million registered voters.
In disputed Kirkuk, mosque loudspeakers blared out calls for residents to vote but participation was limited.
Those who did take part showed off their ink-stained fingers after casting their vote.
"If I had 20 fingers, I would have voted 20 times for my state," Ibtissam Mohammed, 45, said.
Kirkuk governor Najm Eddine Karim, who was fired by Baghdad after his provincial council decided to take part in the vote, also voted.
But in Khanaqeen, another disputed territory in Diyala province, Um Ali, 30, said she feared the outcome of the vote and its consequences for her and her children.
"I don't want separation from Iraq, violence or war," she said.
Iraqi Kurd voters hold a Kurdish flag at polling station during Kurdistan independence referendum in Erbil, Kurdistan region in northern Iraq Source: AAP
'Necessary measures'
Left without a state of their own when the borders of the Middle East were redrawn after World War I, the Kurds see themselves as the world's largest stateless people.
The non-Arab ethnic group number between 25 and 35 million people spread across Iraq, Iran, Turkey and Syria.
Iraqi Prime Minister Haider al-Abadi on Sunday pledged to take all the "necessary measures" to protect the country's unity as his government urged all countries to deal only with it on oil transactions.
Abadi said the Kurds' unilateral decision to stage a referendum affected both Iraqi and regional security, and was "unconstitutional and against civil peace".
Hours later, the Iraqi government called on all countries "to deal only with it on matters of oil and borders".
The Iraqi Kurds export an average 600,000 barrels per day (bpd) through a pipeline running through Turkey to Ceyhan on the Mediterranean.
Recommended reading
Iraqi Kurds call deadly Turkish strike 'unacceptable'
A Turkish minister on Monday denied media reports that a land border gate with northern Iraq was closed, but said tight controls were in place.
Tehran closed its border with Iraqi Kurdistan after saying on Sunday it had blocked all flights to and from the region at Baghdad's request.
Iranian news agency IRNA said Iran's President Hassan Rouhani had called Abadi late Sunday to reiterate his support.
But Barzani said the Kurds' "partnership with Baghdad" since the ouster of dictator Saddam Hussein in a 2003 US-led invasion had failed.
He however said the vote was "not for defining borders or imposing a fait accompli".
"We want a dialogue with Baghdad to resolve the problems, and the dialogue can last one or two years," Barzani said of zones such as Kirkuk.