The United States carried out strikes on three facilities in Iraq on Tuesday, the Pentagon said, after a weekend attack on an Iraqi air base that wounded U.S. forces.

"The U.S. military forces conducted necessary and proportionate strikes on three facilities used by the Iranian-backed Kataib Hezbollah militia group and other Iran-affiliated groups in Iraq," U.S. Defense Secretary Lloyd Austin said in a statement.

The U.S. Central Command, which carries out operations in the Middle East, said the strikes targeted Kataib Hezbollah "headquarters, storage and training locations for rocket, missile" and drone capabilities.

In Iraq, a medical source and a militant source said the U.S. strikes killed at least two militants and that four other people were wounded.

Kataib Hezbollah military spokesperson Jaafar al-Husseini said in a post on X that the group would continue to target "enemy bases" until the end of Israel's siege in Gaza and singled out U.S. support for Israel's campaign.