Sites have been bombed in the north of the city, Aljazeera has learnt. Three people have been injured in the strike.
In recent weeks the US military has launched repeated attacks on various parts of the city, saying it is targeting facilities used by Abu Musab al-Zarqawi, an alleged al-Qaida ally.
Iraq's Health Ministry said in the 24 hours up to Monday morning, before the latest air strike, seven Iraqis were killed in attacks on Falluja and 14 wounded.
There was no immediate word on casualties from Monday's attack.
On Sunday, US forces in armoured vehicles sought to wrest control of key areas of the town from fighters resisting their advance.
Dr Ali Muhammad of Talib al-Janabi hospital said at least four men were killed when US forces trying to capture parts of Falluja on Sunday opened fire in the east of the town.
Earlier, witnesses and doctors said US forces had killed four others in an air strike late on Saturday.
On Thursday night, US air raids near Falluja killed 44 people, including women and children, according to local hospital officials.
Aljazeera has also learnt that an Iraqi Kurdish translator working for the US forces was killed early on Monday by unknown armed men in Baquba, east of Baghdad.
Armed men stormed his house and opened fire at him.
Meanwhile, four Iraqis have been killed by US fire after an American patrol was hit by explosive device in the Smailat area in Abu Ghraib, west of Baghdad.
Details of casualties among US forces in the incident on Monday are not yet known, Aljazeera has learnt.