American soldiers take position around the US Embassy to Iraq in Baghdad, after supporters and members of the Hashed al-Shaabi military network breached the outer wall of the diplomatic mission during a rally to vent anger over weekend airstrikes that killed pro-Iran fighters in western Iraq. File Photo: AFP

Two Katyusha rockets on Tuesday hit a military base housing US troops near the Iraqi capital Baghdad, an Interior Ministry official said.

The attack took place in the evening when the two rockets landed on the al-Taji military base, some 20 km north of Baghdad, where some US troops are stationed, the official told Xinhua on condition of anonymity.

There was no immediate reports about casualties, the official added.

No group has so far claimed responsibility for the attack, which came a few days after Qais al-Khazali, leader of the Iraqi Iran-backed Shiite militia Asa'ib Ahl al-Haq, said the Iranian initial response to the killing of an Iranian military leader was done and it is time for Iraq to respond to the US airstrike.

Al-Khazali's threat came after Iran fired ballistic missiles on Wednesday on two military bases housing US troops in Iraq's western province of Anbar and near the city of Erbil, capital of the semi-autonomous region of Kurdistan.

On Jan. 3, a US drone attacked a convoy near Baghdad International Airport, killing Qassem Soleimani, commander of the Quds Force of Iran's Islamic Revolution Guards Corps, and Abu Mahdi al-Muhandis, deputy chief of Iraq's paramilitary Hashd Shaabi forces.

More than 5,000 US troops are deployed in Iraq to support the Iraqi forces in the battle against Islamic State militants.