The troops pushed towards Nimrud last week as they pressed an offensive launched on October 17 to recapture Iraq's second city, which the jihadists seized along with swathes of Iraq and Syria in mid-2014.
A Kurdish-Arab alliance is pursuing a twin offensive against the other major city still under IS control, Raqa in Syria, and a US-led coalition is backing both assaults with air strikes.
Today Iraq's Joint Operations Command (JOC) said troops had retaken the Nimrud area and another village southeast of the famed archeological site.
It did not specifically mention the Nimrud archaeological site, located a little more than a kilometre (less than a mile) west of the village that bears its name.
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Nimrud was the one of the great centres of the ancient Middle East. Founded in the 13th century BC, it became the capital of the Assyrian empire, whose rulers built vast palaces and monuments that have drawn archaeologists for more than 150 years.
In April last year, IS posted a video on the Internet of its fighters smashing monuments before planting explosives around the site and blowing it up.
IS says the ancient monuments are idols that violate the teachings of its extreme form of Sunni Islam, but it has still sold artefacts to fund its operations.
The United Nations Educational, Scientific and Cultural Organisation welcomed the news of Nimrud's recapture.
"We welcome the news that Nimrod, a UNESCO world heritage site, is back under the control of the Iraqi government," said spokesman George Papagiannis.
The Iraqi offensive has seen federal forces and Kurdish peshmerga fighters advance on Mosul from the east, south and north.
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