A large no of Shias pilgrims were gathered in the city to celebrate the holiday of the Imam al-Mahdi.
In the first incident, a suicide bomber killed 18 people when he blew himself up in the middle of a large group of pilgrims.
Minutes later a car bomb exploded some 300 metres away from the initial blast, killing at least another 22 people.
Earlier, at least four persons were killed and 16 injured on Monday, Jul 26 in a suicide bombing near the Baghdad office of the Al-Arabiya satellite television station.
"There was a huge explosion that shook the building and caused severe damage," said a eyewitness.
According the sources, Iraqi security forces had sealed off the blast area, and movement in the city is slower than usual.