"Troops loyal to Baghdad, killed 33 terrorists, destroyed eight shelters and defused 45 explosive devices… to enter [Fallujah's] Nuaimiya neighborhood," Saad Muen said as quoted by the local TV channel Alsumaria.
He added that 21 more militant was destroyed in other suburbs of Fallujah.
Fallujah, located 42 miles west of the Iraqi capital Baghdad, is one of the largest cities in the Anbar province. In mid-July, Iraqi troops launched a major offensive to liberate Fallujah as well as Ramadi from IS militants.
The Daesh, is a terrorist group infamous for its atrocities, which is also outlawed in many countries around the world, including Russia and the United States.