The base also houses US forces and was apparently struck by seven mortar bombs. The bombs fell within the base’s runway although it has not been confirmed who was behind the attack.
Iraq’s military base is located 80km (50 miles) north of Baghdad.
Sky News Arabia reported that there had been “five Katyusha rockets” rather than mortar bombs.
The country’s military acknowledged the attack in a statement shortly after the event.
Moreover, it is not clear how many US military personnel in the base.
The attack comes amid rising tensions in the Middle East with the UK’s ambassador to Iran, Rob Macaire being detained in Tehran on Saturday.
Mr Macair had been accused of inflaming anti-government tensions as protestors gathered in the city to condemn the attack on the Ukrainian Airlines flight 752, which killed all 176 people.
The ambassador was released after more than an hour in custody but Dominic Raab, called the arrest a “flagrant violation” of international law.
Mr Raab said: “The arrest of our ambassador in Tehran without grounds or explanation is a flagrant violation of international law.
In a progressive step in reducing tensions in the region, Donald Trump gave a press-conference last week where he insisted Iran seemed to be “stepping down”.
Trump also claimed the country must stop its support for terrorist groups in the Middle East in order to achieve peace.
Although he did warn the US does have the power to launch a devastating strike if attacked, Trump said his goal is to achieve prosperity for the Islamic Republic.
He also called for the nuclear deal to now be scrapped and for the signatories to step away and sign a new deal.
Trump also added: “The time has come for the United Kingdom, Germany, France, Russia and China to recognize this reality.
“They must now break away from the remnants of the Iran deal or JCPOA.
“And we must all work together toward making a deal with Iran, that makes the world a safer and more peaceful place.”