"Two US service members died April 2 of wounds suffered when enemy forces attacked their unit with indirect fire," the US military said in a statement without giving any other details.

The latest fatalities raised to 4,443 the number of US soldiers who have died in Iraq since the 2003 US invasion to oust Saddam Hussein, according to an AFP tally based on data from independent website www.icasualties.org.

According to the website, 60 members of the US military were killed in Iraq in 2010 -- by far the smallest number since 2003.

The previous US military casualty in Iraq was on March 20, when an improvised bomb killed a soldier in southern Iraq.

Less than 50,000 US troops remain in the country, but a security agreement between Baghdad and Washington requires that they be withdrawn by the end of 2011.

Iraqi Prime Minister Nuri Al-Maliki has named security as one of his top priorities, but his unity government remains deadlocked over appointments to key security portfolios.