Bombings kill 20 in Baghdad

At least 20 people have died in bombings in Baghdad, with the deadliest attack coming when two parked car bombs exploded simultaneously near a restaurant.

A new wave of bombings has hit Iraq's capital, Baghdad, killing at least 20 people. (AAP)

A new wave of bombings has hit Iraq's capital, Baghdad, killing at least 20 people.

The deadliest attack took place in Baghdad's northern Shi'ite Shaab neighbourhood, when two parked car bombs exploded simultaneously near a restaurant and a tea house. Officials say those blasts killed 10 people and wounded 26.

Authorities say a parked car bomb ripped through the capital's Shi'ite eastern district of Sadr City, killing five and wounding 10, while officials said another bombing killed three civilians and wounded six in a commercial area in the central Bab al-Muadham neighbourhood.

Two other bombings killed two civilians and wounded 13, police said.

Medical officials confirmed the causality figures. All officials spoke on condition of anonymity as they were not authorised to release information.

The attacks come as Iraqi security forces are besieging two key cities in the country's western Anbar province after they were taken over by militants from al-Qaeda's local branch, known as the Islamic State in Iraq and Levant.

Clashes have been taking place since Monday in Anbar's provincial capital, Ramadi, and nearby Fallujah between al-Qaeda militants and pro-government Sunni tribesmen.

The Baghdad bombings could be seen as an attempt by militants to distract security forces.

Earlier on Sunday, a senior Iraqi military commander said that it will take a few days to fully dislodge al-Qaeda-linked fighters from two key western cities.

Lieutenant General Rasheed Fleih, who leads the Anbar Military Command, told the state television on Sunday that "two to three days" are needed to push the militants out of Fallujah and parts of Ramadi.