The U.S. military says it will pull 12,000 troops out of Iraq by the end of September, as part of President Barack Obama's plan to end combat missions by August 2010.
Military officials say the drawdown would reduce U.S. combat power from 14 brigades to 12 brigades.
In addition, military officials say 4,000 British troops will be pulling out of Iraq in the coming months.
President Obama plans to fully withdraw from Iraq by the end of 2011, ending what would be a nearly nine-year-long war.
The U.S. military announced its plans Sunday shortly after a suicide bomber killed at least 28 people outside a police academy in Baghdad.
Officials say at least 57 others were injured in the attack.
In other news, the British-based aid group Oxfam says the plight of women in Iraq remains bleak, despite an overall decrease in violence in the country.
The group's study of 1,700 women found that a quarter of the women did not have daily access to drinking water, and more than a third could not send their children to school. It also found the majority of widows were not receiving government pensions.
A separate study released Saturday shows that Iraqis report a relatively low rate of mental illness, despite years of war.
The study by the World Health Organization and the Iraqi government shows that 16.5 percent of Iraqis surveyed have mental health problems. Depression is the most common disorder.