Two rockets have fallen inside Baghdad's green zone, where the US embassy is located.

Two large blasts were heard, followed by sirens on Wednesday night in the Iraqi capital, Reuters witnesses said. 

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The Iraqi military has confirmed the rockets fell inside the green zone.

"Two Katyusha rockets landed inside the Green Zone without causing casualties," it said in a statement. 

Local news site Erem News reports one of the missiles landed 100 metres from the US embassy. 

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The news follows a tense day yesterday as Iran launched more than a dozen ballistic missiles at two bases housing US military personnel in Iraq.

The attack was retaliation for the killing of top Iranian general Qassem Soleimani, who died in a US strike last week.

US President Donald Trump confirmed there were no casualties during Wednesday's attack.