A rocket fired towards Baghdads Green Zone, which hosts the US and other embassies, fell just short causing damage to a home and injuring a child early on Sunday, the Iraqi military said. Security forces at the same time stopped another Katyusha rocket from being launched at Taji military airbase north of Baghdad which hosts US troops, a military statement added. The military gave no further details. US officials blame Iran-backed militia for regular rocket attacks on US facilities in Iraq, including near the embassy in Baghdad. No known Iran-backed groups have claimed responsibility. A police and a medical source confirmed a child was lightly injured and said it was caused by rocket fragments that landed on a home. The police source said an anti-rocket system set up to defend the US embassy, and which had been tested on Saturday, had shot down a rocket which exploded in mid-air before it could hit the Green Zone. Iraqi security forces raided a headquarters of the Kataib Hezbollah Iran-backed militia in southern Baghdad last week arresting more than a dozen members of the group on charges of involvement in rocket attacks. Most of whom were released shortly afterwards. Paramilitary groups backed by Iran have come to dominate parts of Iraqs security institutions, economy, and political life. Prime Minister Mustafa al-Kadhimis government is favored by the United States and has indicated it will back up tough talk against the militias with action, but last weeks confusing episode over the arrest of militiamen showed it will come up against tough resistance.