A US statement said the car bomb was driven by a suicide bomber, but Iraqi police said the car was parked.
In Baghdad a car bomb exploded near the National Theatre, killing at least three people and wounding another 23, police said.
Another 10 people were wounded, including seven civilians, in two more bomb attacks in Baghdad, police said.
One targeted a police patrol and another set alight a mostly empty oil tanker.
In another roadside bomb attack outside the town of Fallujah - once the epicentre of the Sunni rebellion - six policemen, including one officer - were wounded, Jumaa Hussein Hamadi, a police captain, said.
In March 2007, the mostly Turkmen town of Tal Afar saw one of the deadliest single attacks in Iraq since the US-led invasion four years earlier when a suicide truck bomb killed more than 150 people.
Fighters have shown themselves still capable of carrying out large scale attacks across the country, but violence has been falling in recent months to its lowest level since the US-led invasion in 2003.