A soldier from Task Force Liberty died and two others were injured when a homemade bomb detonated Sunday in Baghdad.
The injured soldiers were taken to a medical facility for treatment of what the military described as non-life-threatening wounds.
The attacks came on another violent day in Iraq.
The U.S. military says more than 30 people were killed in three suicide attacks Sunday in the Iraqi city of Mosul.
The military says the latest Mosul attacks hit a teaching hospital and a parking lot outside an Iraqi army base.
The military says the attack on the base killed 16 and wounded seven more, almost all of them civilians arriving for work.
Police say the strike at the teaching hospital hit a room for police guards, killing five policemen and wounding six.
Earlier a suicide car bomber attacked Mosul police headquarters, killing 15 people, including 13 police officers.