Parts of the cities of Ramadi and Fallujah, west of Baghdad, have been held by militants for days, harkening back to the years after the 2003 US-led invasion when both were insurgent strongholds.
Fighting erupted in the Ramadi area Monday, when security forces removed the main anti-government protest camp set up after demonstrations broke out in late 2012 against what Sunni Arabs say is the marginalisation and targeting of their community.
Anger at the Shiite-led government among the Sunni minority is seen as one of the main drivers of the worst violence to hit Iraq in five years.
However, the city's outskirts were in the hands of local police, the official added.
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An AFP journalist in Fallujah also said that ISIL seemed to be in control, with no security forces or Sahwa anti-Al-Qaeda militiamen visible on the streets.
More than 100 people were killed yesterday during fighting in Ramadi and Fallujah, in the country's deadliest single day in years.
Fourteen died in and near Ramadi on Monday and Tuesday, while later tolls were not immediately clear.
One went to where the prayer leader had stood, and said: "We announce that Fallujah is an Islamic state and call you to stand by our side."
Fallujah was the target of two major assaults after the 2003 invasion, in which American forces saw some of their heaviest fighting since the Vietnam War.
American troops fought for years, aided by Sunni tribesmen in the Sahwa militia forces from late 2006, to wrest control of Anbar from militants.