Several rockets fell inside Baghdad's heavily fortified Green Zone, which houses the United States embassy and the Balad Air Force Base, an Iraqi air base housing US troops, in Baghdad on Saturday. No casualty has been reported so far, the Iraqi military said.

The missile attacks near the US embassy and at the Balad Air Force Base have come a day after a deadly American strike in Baghdad which killed top Iranian commander Qasem Soleimani.

"Several rockets targeting Celebration Square and the Jadriya area in Baghdad, and the Balad air base in Salahuddin province, with no loss of life. Further details to come," the military said in a statement. The Iraqi military said that one projectile hit inside the zone, while another landed close to the enclave.

Katyusha rockets hit Baghdad's Green Zone where the United States embassy is located and the Al-Balad base, security sources said. The Green Zone area houses government buildings and foreign missions.

Sirens immediately rang out at the American compound in Baghdad hosting both diplomats and troops, while the US helicopters were seen in the sky over Baghdad soon after the blasts were heard.

The reported attacks near the US embassy in Green Zone and the Balad Air Force Base has come a day after top Iranian commander Qasem Soleimani was killed in a US strike on Baghdad's international airport, Iran and the US confirmed.

The US has feared a backlash against its mission and bases where its troops are deployed across Iraq following the precision drone strike that killed Iranian general Qasem Soleimani on Friday.

After the death of General Qassem Soleimani, Iran's supreme leader Ayatollah Ali Khamenei vowed "severe revenge" after the United States killed General Qassem Soleimani, the chief of Iran's elite Quds Force, in an airstrike at the Baghdad airport on Friday.

"With him gone, God willing, his work and his path will not be stopped, but severe revenge awaits the criminals who bloodied their foul hands with his blood and other martyrs' in last night's incident. All enemies should know that the jihad of resistance will continue with a doubled motivation, and a definite victory awaits the fighters in the holy war," Khamenei said in a statement telecast by the state TV.

Meanwhile, the authorities of the Islamic Republic of Iran raised the Red Flag of Hussein over the Holy Dome of Jamkaran Mosque, in Qom city of Iran. The Red Flag signals that a major war is to come or is even now underway.

(With inputs from agencies)