Title: Government of the Islamic Republic of Iran
Content:  The Government of the Islamic Republic of Iran (, known simply as Neẓām among its supporters) is the ruling state and current political system in Iran, in power since the Islamic revolution and fall of the Pahlavi dynasty in 1979. Its constitution, adopted by an ex post facto referendum, uses separation of powers model with Executive, Legislative, and Judicial systems, while the Supreme Leader is the country's head of state and commander-in-chief of the armed forces. It is currently one of the three governments using the title Islamic republic.
Title: Iraq
Content:  The federal government of Iraq is defined under the current Constitution as a democratic, federal parliamentary republic. The federal government is composed of the executive, legislative, and judicial branches, as well as numerous independent commissions. Aside from the federal government, there are regions (made of one or more governorates), governorates, and districts within Iraq with jurisdiction over various matters as defined by law. The National Alliance is the main Shia parliamentary bloc, and was established as a result of a merger of Prime Minister Nouri Maliki's State of Law Coalition and the Iraqi National Alliance. The Iraqi National Movement is led by Iyad Allawi, a secular Shia widely supported by Sunnis. The party has a more consistent 
Title: Politics of Iraq
Content:  The politics of Iraq take place in a framework of a federal parliamentary representative democratic republic. It is a multi-party system whereby the executive power is exercised by the Prime Minister of the Council of Ministers as the head of government, as well as the President of Iraq, and legislative power is vested in the Council of Representatives. The current Prime Minister of Iraq is Mustafa Al-Kadhimi, who holds most of the executive authority and appointed the Council of Ministers, which acts as a cabinet and/or government.
Title: Federal government of Iraq
Content:  The federal government of Iraq is defined under the current Constitution, approved in 2005, as an Islamic, democratic, federal parliamentary republic. The federal government is composed of the executive, legislative, and judicial branches, as well as numerous independent commissions.
Title: Iraqi Interim Government
Content:  It was recognized by the U.S., the United Nations, the Arab League and several other countries as being the sovereign government of Iraq (see Iraqi sovereignty for more information). The U.S. retained significant de facto power in the country and critics contend that the government existed only at the pleasure of the United States and other coalition countries, whose military forces still remain in Iraq. The coalition did promise that its troops would leave if the new sovereign government requested it, but no such request was made.
Title: Caretaker government
Content:  Iraq is governed by a caretaker government.
Title: Sectarian democracy
Content:  Present day Iraq is a sectarian democracy where the Shiite controls the majority of the government. This is partly because Shiites in Iraq are the dominant religious group and partly because many Sunnis boycotted the elections. Despite the sectionality of the government it must be remembered that there are elected Sunnis and Kurds in power.
Title: Freedom of religion in Asia by country
Content:  The government of Iraq is a constitutional democracy with a republican, federal, pluralistic governmental system consisting of 18 provinces or "governorates.". Although the Constitution recognizes Islam as the official religion and states that no law may be enacted that contradicts the established provisions of Islam, it also guarantees freedom of thought, conscience, and religious belief and practice. While the Government generally endorses these rights, political instability during the Iraq War and the 2014&mdash;2017 Iraqi Civil War and the prevented effective governance in parts of the country not controlled by the Government, and the Government's ability to protect religious freedoms has been handicapped by insurgency, terrorism, and sectarian violence. Since 2003, when the government of Saddam Hussein fell, the Iraqi government has generally not engaged in state-sponsored persecution of any religious group, calling instead 
Title: Iraqi Kurdistan
Content:  Iraqi Kurds played an important role in the Iraq War. Kurdish parties joined forces against the Iraqi government during the war in Spring 2003. Kurdish military forces, known as Peshmerga, played an important role in the overthrow of the Iraqi government; however, Kurds have been reluctant to send troops into Baghdad since then, preferring not to be dragged into the sectarian struggle that so dominates much of Iraq. A new constitution of Iraq was established in 2005, defining Iraq as a federalist state consisting of Regions and Governorates. It recognized both the Kurdistan Region and all laws passed by the KRG since 1992. There is provision for Governorates to create, join or leave Regions. However, as of late 2015, no new Regions have been formed, and the KRG remains the only regional government within Iraq. PUK leader Jalal Talabani was elected President of the new Iraqi administration, while KDP leader Masoud Barzani became President of the Kurdistan Regional Government.
Title: January 2005 Iraqi parliamentary election
Content:  March 2004, the country's executive branch was led by a three-person presidential council. The election system for the council effectively ensures that all three of Iraq's major ethnic / religious groups are represented. The constitution also includes basic freedoms like freedom of religion, speech, and assembly, and is perceived by some to be more progressive than the American Constitution. Controversially, however, it states that all laws that were in effect on the transfer date cannot be repealed. Furthermore, since the coalition forces are currently working to maintain order and create a stable society under the United Nations, coalition troops can remain in effective control of the country despite the transfer of sovereignty. Since Iraqi forces were then considered not fully trained and equipped to police and secure their country, it was expected that coalition troops will remain until Iraqi forces no longer required their support.

Question: what type of government does iraq have now?
Answer: Parliamentary system.