"As a result of an explosion carried out by a suicide bomber at Al Wathba Square five people were killed and 29 injured, among them are four representatives of the traffic police," a police source told Alsumaria TV channel.
Another Thursday suicide bombing in the square of Bab Al Sharji in downtown Baghdad killed eight people. Some 40 people, including police officers, were wounded in the explosion.
No group immediately claimed responsibility for the attacks.
Large areas of Iraq and neighboring Syria have been occupied by the Islamic State militant group, which has proclaimed a caliphate on the land under its control.
ISIL is an extremist Sunni militant group, and denounces the Shia Muslims who make up almost 70 percent of the Iraqi population as infidels. ISIL has carried out numerous terror attacks and committed many human rights atrocities in the country.