The explosions targeted the Karrada and Sha’ab districts. The first blast was a car bomb, Interior Ministry spokesman Saad Maan confirmed.
The second explosion went off shortly afterwards in the eastern district of Sha’ab.
The terror group Daesh (ISIS/ISIL) claimed responsibility for the attacks.
Eyewitnesses said on Twitter that many shops burned down in the explosion. There are also fears the number of casualties could grow.
Reports show at least 40 Shia Muslims were among dead and injured.
— Steven Nabil (@thestevennabil) July 2, 2016