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. Photo: AFP

A volley of rockets on Monday targeted the high-security zone in the Iraqi capital that is home to the US embassy, the military and security sources said.

The attack is the third in a week to target Western diplomatic, military or commercial installations across Iraq after months of relative calm.

At least two rockets landed within the perimeter of the Green Zone, where the American and other foreign embassies are based, according to a statement by Iraq's security services.

A security source within the Green Zone said the C-RAM anti-rocket defense system deployed at the US embassy had not fired because the rockets were not projected to land within the diplomatic compound.

A security source told AFP at least one rocket hit the headquarters of Iraq's National Security Service near the US diplomatic mission, damaging several cars parked there.

A US-led coalition deployed in Iraq since 2014 to help local forces fight jihadists also operates a base near the American embassy.

"The coalition reports no damages or injuries," coalition spokesman Wayne Marotto said on Twitter. 

At least one other rocket crashed into the nearby residential district of Harithiya, the military said. 

A resident of the area told AFP the rocket damaged a multi-story parking complex just a few meters from his home. 

There was no immediate claim of responsibility for the attack, but the military said it had located the launchpad in a northern district of Baghdad.

The attack comes a week after more than a dozen rockets targeted a military complex at the Arbil airport in Iraq where US-led coalition troops are based. 

AFP