"Three missiles fell in the area of Erbil worldwide airport, security officials were dispersed in the area", the broadcaster said, citing a source in the Iraqi security services. The coalition said five other contractors were hurt, without elaborating. A third USA official, speaking on condition of anonymity, said the US service member's injury was a concussion. A statement from Kurdistan's interior ministry said "several people" had been injured based on a preliminary investigation.
The officials spoke on condition of anonymity in line with regulations.
Groups that some Iraqi officials say have links with the Iranian regime have claimed a series of rocket and roadside attacks against coalition forces, contractors working for the coalition and US installations including the embassy in Baghdad in recent months.
"We are outraged by today's rocket attack in the Iraqi Kurdistan Region", Blinken said in a statement.
Both American and Iraqi officials have blamed hardline armed groups, including the pro-Iran faction Kataeb Hezbollah and Asaib Ahl al-Haq.
The State Department also said that Soleimani was "actively developing plans to attack American diplomats and service members in Iraq and throughout the region".
On Sept. 30, when six rockets hit near the airport, Kurdish authorities said they had been launched from a pickup truck in the nearby town of Bartella in Ninevah province, which falls under federal government control.
Hoshiyar Zebari, a politburo member of the Kurdistan Democratic Party, said security officials were investigating the source of the attack. "This aggression will not stand", he tweeted.
Around a dozen such groups have cropped up in the a year ago claiming rocket attacks, but United States and Iraqi security officials have told AFP they believe them to be front groups for prominent pro-Iran factions including Kataeb Hezbollah and Asaib Ahl al-Haq.
But most rocket attacks had concentrated on the coalition and US diplomatic personnel based in Baghdad.
Groups that some Iraqi officials say have links with Iran have claimed a series of rocket and roadside bomb attacks against coalition forces, contractors working for the coalition and US installations - including the embassy in Baghdad - in recent months.
The U.S. -Iran tension has often played out on Iraqi soil.
Trump had said the death of a US contractor would be a red line and provoke USA escalation in Iraq.
He condemned the rocket attack and stressed that he instructed the security services to launch a full-scale investigation.
The group claimed that it fired 24 rockets from an area 7 kilometers away from the US-occupied al-Tahrir military base, all of which hit their targets as the coalition air defenses failed to intercept the rockets.