The Daesh (ISIL or ISIS) terrorist group claimed responsibility for the first blast outside a popular ice cream shop just after midnight, which killed at least 15 and wounded 27 in the commercial Karrada district, police and health officials have said, Independent reported.
A few hours later, a second explosives-laden car went off during rush hour near the state-run Public Pension Office near the al-Shahada (Martyrs') Bridge in the busy Shawaka district, killing at least 12 and wounding 23 more, a police officer said.
There was no immediate claim of responsibility for the second bombing, though it bore the hallmarks of Daesh.
The attacks came just days into the holy month of Ramadan when Muslims fast during daylight.
After sunset, families break their fast and Baghdad's restaurants and cafes quickly fill up with people staying up long into the night to prepare for the next day's fast.
CCTV video of the explosion outside the ice cream parlour shows a busy downtown area, with cars driving down the street when a massive blast strikes.
Then, a huge fireball engulfs a building, forcing the cars to scramble to get away.
Videos of the attack posted on social media show wounded and bloodied people crying for help on the road outside the ice cream shop.
Karrada was hit by a massive Daesh truck bomb in July 2016 that killed at least 324 people, the deadliest attack in Iraq since the US invasion of the country in 2003.