The development follows news from an army spokesman on Tuesday that they had captured the Mosque of the Prophet Younis or Jonah in Mosul, Iraq's second largest city.
The mosque, thought to be the burial place of the Old Testament prophet, was among dozens of historical sites destroyed after IS seized swathes of northern and western Iraq in June 2014.
News that eastern Mosul is now under the complete control of Iraqi forces comes two days after the United Nations warned the massive Iraqi military operation to retake the city, which started in October, had left more than 148,000 people homeless.
The UN said more than 12,000 have been forced to flee just in the last seven days, while fighting in Mosul has continued to see a relatively high toll on civilians, with more than 1,500 people being taken to hospitals in nearby Irbil.
More than a million people were estimated to be living in Mosul at the time the Iraqi military began their operation last October.