The unrest, which also left 36 wounded yesterday, struck in multiple areas of the city and its outskirts, doctor Ahmed Shami at the city's main hospital said today.
Tribal leader Mahmud al-Zobaie said the violence broke out at mid-day and continued for several hours.
He said shelling hit a half-dozen neighbourhoods in northern, southern and central Fallujah, while Iraqi security forces engaged in clashes with anti-government fighters on the city's northern and southern outskirts.
More than 350 people have been killed in the Fallujah area since militants took control of the city at the beginning of the year, according to Shami, adding that most of the casualties were civilians who were caught in the army's shelling of the city.
Human Rights Watch said last month that Iraqi authorities have likely violated the laws of war by targeting Fallujah hospital in the shelling.
