BAGHDAD — Two rockets landed in Baghdad’s highly fortified Green Zone on Saturday night after clashes at anti-government protests left five dead, according to Iraqi security and hospital officials.

The rocket attack left no casualties as the munitions landed on the parade grounds in the center of the Baghdad compound that is home to Iraq’s government and most foreign embassies. It was not immediately clear who fired the projectiles.

Saturday’s protests were called for by influential cleric Muqtada al-Sadr, and clashes that erupted as crowds pushed toward the Green Zone left two policeman and three protesters dead, according to police and hospital officials.

The officials said six other policemen were injured along with dozens of protesters. The violent outbreak prompted the government to call for a “full investigation.”

The demonstrators loyal to al-Sadr gathered in Baghdad’s downtown Tahrir square demanded an overhaul of the commission overseeing local elections scheduled this year. Al-Sadr has accused the commission of being riddled with corruption.

Shots rang out in central Baghdad as security forces used live fire and tear gas to disperse the crowds. Ambulances rushed away protesters suffering from breathing difficulties.

Hospital officials said the policemen died of gunshot wounds. They gave no details as to the cause of death of the protesters.

While at times the crowds advanced toward the Green Zone, by afternoon they began to disperse after a statement from al-Sadr’s office called on his followers to refrain from trying to enter the compound.

Meanwhile, Iraq’s prime minister ordered an investigation into the violence.

“The prime minister ordered a full investigation into the injuries among security forces and protesters during the demonstration today in Tahrir square,” read a statement from Prime Minister Haider al-Abadi’s office Saturday evening.

Al-Sadr’s office issued another statement Saturday night following news of protester casualties claiming that “excessive force” was used against the demonstrators and threatened greater protests. “The next time the blood of our martyrs will not go in vain,” the statement said.

“We will not give in to threats,” the head of the electoral commission, Serbat Mustafa, said in an interview with a local Iraqi television channel Saturday afternoon. Mustafa said he would not offer his resignation and accused al-Sadr of using the commission as a political “scapegoat.”

Al-Sadr has been a vocal critic of al-Abadi.