"The forces completed the liberation of Al-Thawra neighbourhood," Sabah al-Noman, spokesman for the elite Counter-Terrorism Service, told AFP.
An officer with the federal police forces also deployed in west Mosul confirmed that the neighbourhood, which lies just west of the Old City, had been retaken from the Islamic State group.
The Joint Operations Command coordinating the fight against the jihadists nationwide said the Nasr neighbourhood was also retaken today.
Iraqi forces launched a huge operation, their largest in years, to retake second city Mosul, in mid October last year.
On the west bank, Iraqi forces control southern neighbourhoods and are slowly surrounding the Old City, whose narrow streets are expected to make federal operations very difficult.
An estimated 400,000 civilians are believed to still be there, unwilling or unable to leave because any escape would be too dangerous or because the jihadists are using them as human shields.
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