The main protest took place in Baghdad. There were other demonstrations in other regions.
The government statement blamed “groups of riot inciters” for the violence and said the security forces were working to ensure the safety of peaceful protesters.
In Baghdad, police opened fire in the air as some 3,000 protesters tried to cross a bridge leading into Baghdad’s fortified Green Zone, which houses government buildings and foreign embassies.
Prime Minister Adel Abdul Mahdi, who chaired the weekly cabinet meeting on Tuesday, issued a statement promising jobs for graduates. He instructed the oil ministry and other government bodies to start including a 50% quota for local workers in subsequent contracts with foreign companies.