He made the remarks in a meeting with Iran's Ambassador to Iraq Iraj Masjedi, IRNA reported.
In the meeting, the two sides discussed ways to bolster bilateral ties as well as security and political situation in Iraq, especially the issue of water.
Ambassador Masjedi congratulated the election of Halbousi as the country’s new parliament speaker.
Iran has always emphasized on importance of unity and solidarity among religions and different ethnics in Iraq and supported political trend in this country, Masjedi added.
The ambassador also submitted invitation letter of Iran’s Parliament Speaker Ali Larijani to his Iraqi counterpart to pay an official visit to Iran.
The Iranian official also held a meeting with Iraqi President Fuad Masum in Baghdad on Sunday.