A suicide bombing in a marketplace in the northern district of al-Shaab killed 41 people and injured more than 70, while a car bomb in the southern neighbourhood of al-Rasheed left six dead and another 21 injured, the sources said.
Meanwhile, 34 people were killed and 53 wounded when a mini-bus laden with explosives detonated in Sadr City, a Shiite area in eastern Baghdad.
The explosions on Tuesday drove Shi’ite fighters into the streets to defend some areas.
Islamic State (IS or Daesh) terrorist group claimed responsibility for the attacks.