The consulate compound came under mortar fire, reports said.
No one was injured in the attack.
None of the mortars managed to hit the main consulate building but did fall inside the compounds inner perimeter.
On June 14, some 500 Iraqis attacked Iran’s consulate in Basra, torching parts of the compound.
The protest followed a similar one days earlier outside the Iranian consulate in the holy city of Karbala.
The participants in both demonstrations were supporters of prominent Iraqi Shiite Ayatollah Mahmoud al-Hassani, an outspoken critic of Iranian meddling in Iraq.
