The attack comes days after 10 people were killed and 37 hurt when a vehicle blew up in a wholesale produce market in Dora.
Dora, a confessionally mixed district, has been one of the Iraqi capital's most dangerous areas.
Another explosion also occurred inside a Baghdad police station on Thursday, killing three policemen and injuring 20 people, including 12 officers and eight civilians.
The bomb had been left in a rubbish bin in the police station.
A third attack - a suicide bombing - took place on Thursday killing eight people and injuring seven others in the northern city of Kirkuk, an Iraqi police official said.
The attacker targeted a military base where members of the local Awakening Council had gathered to collect salaries, Major Salam Zankana said.
The Awakening Council is a paramilitary group made up of Sunni Muslims opposed to an al-Qaeda-led battle against the Iraqi government and the presence of foreign troops in the country.
"While we were waiting at a gate talking to one another a big explosion took place," Sami Ghayashi, one of those hurt in the blast, said.
"I saw several colleagues dead, among them my cousin. I have no idea how this suicide bomber got among us."
Also on Thursday, three policemen were killed when a bomb was detonated inside a police station in western Baghdad, another Iraqi police official said, on condition of anonymity.
At least 19 people were wounded in the attack, he said.