A day after announcing a push into the jihadist bastion, forces led by Iraq's elite counter-terrorism service had some way to go before retaking the city.
After thrusting toward Fallujah from three directions yesterday, their biggest advance was from the south, where they pushed into the suburb of Naimiyah.
Lieutenant General Abdelwahab al-Saadi, the overall commander of the Fallujah operation, said IS fighters mounted a fierce counter-attack on the area early on today.
Saadi said Iraqi forces in the area, which also include police and army units, were eventually able to repel the attack, killing 75 jihadists.
He did not give a figure for losses on the pro-government side.
Provincial councillor Rajeh Barakat said Iraqi forces had now resumed their advance from Naimiyah.
"The attack was repelled with air support from the international coalition and Iraqi aircraft," he said.
Fallujah was lost from government control months before IS swept across large parts of Iraq in June 2014 and is an emblematic bastion for the jihadist group.
A Fallujah resident contacted by AFP by telephone said many civilians were eager to see the security forces recapture the city but that there was fear of what the jihadists might do as defeat loomed.
"There is some discontent among the people because we haven't seen the Iraqi forces enter the centre yet," said the resident, who gave his name as Abu Mohammed al-Dulaimi.
