Two US soldiers have been killed and at least eight others wounded in attacks that follow hot on the heels of the deaths of Saddam Hussein's two sons.
One US soldier was killed and six wounded when their vehicle hit an explosive device in the town of Mosul in northern Iraq, where Saddam's sons Uday and Qusay were killed a day earlier, a US military spokesman said.
The spokesman said the vehicle hit a mine or home-made explosive device.
In a separate attack, one US soldier was killed and two others wounded near the town of Ramadi west of Baghdad when their convoy was attacked with an improvised explosive, a US military spokesman said.
The US spokesman said the soldiers were from the 3rd Armoured Cavalry Regiment. Ramadi is in the "Sunni triangle" to the north and west of Baghdad where many of the guerrilla attacks on US troops have been concentrated.
The deaths brought to 41 the number of American soldiers killed in Iraq since US President George W. Bush declared major combat over on May 1.
Lieutenant-General Ricardo Sanchez, commander of ground forces in Iraq, said on Tuesday the killings of Uday, 39, and Qusay, 37, would deal a blow to guerrillas who have staged the attacks and ambushes on US forces in Iraq.
Paul Bremer, the US administrator of Iraq, said there was a risk of revenge attacks by Saddam loyalists.