Interior ministry spokesman said it had been installed at the airport, though officials did not offer details about the type of system or who had installed it.
Pro-Iran Iraqi groups have vowed to ramp up attacks to force out the "occupying" US forces in recent months, sometimes against Tehran's wishes, according to some experts.
At least three rockets targeted the Kurdish regional capital of Arbil, with one hitting a military complex at the Arbil airport where US-led coalition troops are based.
Kurdish security sources said at least three rockets landed near Erbil International Airport in the autonomous region late at night. Reuters reporters heard several loud explosions and saw a fire break out near the airport.
In late December, Hamas and Islamic Jihad staged joint military exercises in the coastal territory, during which they fired rockets out to sea, in the first exercise of its kind.
"Rockets were fired towards Bagram Airfield this morning. Initial reporting is there were no casualties and the airfield was not damaged," the official said.