In this file photo taken on Sept. 22, 2018, members of Iran's IRGC march during the annual military parade marking the anniversary of the outbreak of the 1980-1988 war with Iraq, in the capital Tehran. (Xinhua/AFP)

Iran's Islamic Revolution Guards Corps (IRGC) has fired "tens of surface-to-surface missiles" at the US airbase in Anbar province in western Iraq in retaliation for the killing of Iranian general Qassem Soleimani, Press TV reported Wednesday.

The IRGC has called for a complete withdrawal of US troops from the Arab country and said that it would not differentiate between the United States and Israel in retaliation against the assassination of the Iranian general, according to the report.

Iran has vowed to take a "harsh revenge" for Soleimani's death. The IRGC said it would release more details about the strikes.

The White House has announced that the United States is monitoring reported rocket attacks on its airbase in Iraq.

"We are aware of the reports of attacks on US facilities in Iraq. The president ... is monitoring the situation closely and consulting with his national security team," the White House said in a statement.