(Adds Pompeo statement)
By Ahmed Rasheed and Hesham Abdul Khalek
BAGHDAD, Dec 20 (Reuters) - At least eight Katyusha rockets landed in Baghdad's heavily fortified Green Zone in an attack targeting the U.S. Embassy, causing some minor damage on the compound on Sunday, the Iraqi military and the embassy said on Sunday.
The Iraqi military said an "outlaw group" fired eight rockets. Most of the missiles hit a residential complex and a security checkpoint inside the zone, damaging buildings and cars and wounding one Iraqi soldier, a military statement said.
Sirens blared from the embassy compound inside the zone, which houses government buildings and foreign missions.
An anti-rocket system diverted one of the rockets, said one security official whose office is inside the Green Zone.
The U.S. Embassy condemned the attack and urged all Iraqi political and governmental leaders to take steps to prevent such attacks and to hold accountable those responsible.
"The U.S. Embassy confirms rockets targeting the International Zone resulted in the engagement of Embassy defensive systems. There was some minor damage on the Embassy compound but no injuries or casualties," it said in a statement.
In a subsequent statement, U.S. Secretary of State Mike Pompeo said there had been at least one Iraqi civilian casualty and wished those hurt a speedy recovery.
U.S. officials blame Iran-backed militia for regular rocket attacks on U.S. facilities in Iraq, including near the embassy in Baghdad. No known Iran-backed groups have claimed responsibility.
Pompeo called such militias the most serious impediment to peace and prosperity in Iraq, and added:
"We call on all Iraqis to support their government's efforts to reinforce Iraq's sovereignty, to bring to justice those responsible for these reprehensible attacks and ensure that all the currently Iran-backed militias are under state control."
A spokesman for the Iraqi president also condemned the attack.
An array of militia groups announced in October that they had suspended rocket attacks on U.S. forces on condition that Iraq's government present a timetable for the withdrawal of American troops.
But a rocket strike on the U.S. Embassy on Nov. 18 was a clear sign that Iranian-backed militias had decided to resume attacks on U.S. bases, according to Iraqi security officials.
Washington, which is slowly reducing its 5,000 troops in Iraq, threatened to shut its embassy unless the Iraqi government reins in Iran-aligned militias. (Reporting by Ahmed Rasheed and Hesham Abdul Khalek; Additional reporting by Ahmed Tolba and David Brunnstrom; Writing by Ahmed Rasheed; Editing by Angus MacSwan and Lincoln Feast.)
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