According to Press TV, voting stations opened in Baghdad and other cities at 7:00 a.m. local time (04:00 GMT) on Saturday and will close at 6:00 p.m. local time (15:00 GMT).
Airports and border crossings are closed for 24 hours as part of security measures in the face of Daesh threats still lurking beneath the surface.
Roughly 24.5 million voters are eligible to take part in Saturday’s election, with initial results expected in three days.
About 7,000 candidates from dozens of political alliances are vying for seats in the 329-member parliament.
Among major challenges facing the new Iraqi premier is ensuring security and reconstructing the war-torn country.
Daesh unleashed a campaign of death and destruction in Iraq in 2014, overrunning vast swathes in lightning attacks. Iraqi army soldiers and allied fighters then launched operations to eliminate the terrorist group and retake lost territory.
Last December, Iraqi Prime Minister Haider al-Abadi declared the end of the anti-Daesh campaign in the Arab country. The group’s remnants, though, keep staging sporadic attacks across Iraq.