Three devices exploded in the city center, leaving 16 people injured, police captain Hamed al-Obeidi told Anadolu Agency.
He said an investigation has been launched into the blasts.
No group has yet claimed responsibility for the explosions.
Iraq has been roiled by protests since early October against poor living conditions and corruption.
The protesters have expressed frustration with the failing economy and have demanded political and anti-corruption reforms.
The rallies have, however, turned into violent confrontations in numerous occasions, with reports alleging that certain foreign-backed elements have been seeking to wreak havoc in the country.