A suicide bomber drove an explosive-laden car into a police checkpoint and blew it up in kadhimiyah district in northern Baghdad, leaving at least nine people killed and 35 others injured, Xinhua quoted a source as saying.
Few hours later, a car bomb exploded in a street in central Baghdad, killing six civilians and wounding 17 others.
The massive blast also destroyed several nearby buildings and vehicles.
Iraq has been witnessing some of its worst violence in recent years.
The UN Assistance Mission for Iraq (UNAMI) Monday said at least 1,420 Iraqis have been killed and 1,370 injured in terrorist attacks and violence across the country last month.
In August alone, the UN estimates that 600,000 people have been displaced while thousands continue to be targeted and killed by the Islamic State militants and associated armed groups simply on account of their ethnic or religious background.