"We promised to liberate Fallujah, and we did it. The security forces control almost the entire city except for small hotspots, which will be eliminated in the coming hours," Abadi said in a televised speech to the nation.
Daesh terror group is banned in many countries, including Russia.
"ISF forces under the command of [Iraqi] Prime Minister Haider al-Abadi have entered the city," Carter stated. "They are in control of a portion of the city: It is too early to say all of the city. This is an important objective", US Secretary of Defense Ashton Carter told reporters on Friday.
"There is still some fighting to be done," Carter added.
The Iraqi military operation to liberate Fallujah will be finished in two to three days when the militants still concentrated in the north of the city are cleared, Iraqi Brigadier General Abdelwahab Saadi said earlier on Friday, according to a media report.