Camp Victory, Iraq ? December was the first month since the Iraq war began in which there were no American deaths, a milestone hailed by military officials Friday as they inaugurated a new name for the U.S. force at the start of the year that will see the war wind down in earnest.

Henceforth, the Multinational Force-Iraq will officially be called the United States Force-Iraq, in belated recognition of the fact that for some time there have been no other nations serving alongside U.S. troops in the nearly 7-year-old conflict.

British, Australian and Romanian soldiers pulled out in July, leaving Americans as the last surviving members of what former President George W. Bush once called “the coalition of the willing.” A small number of foreigners are serving with a NATO training mission, but they were not part of the multinational force.

At its peak, the coalition included 32 nations, but the expression often drew snickers because many of its members, such as Estonia and Tonga, were among America’s smallest allies and they contributed fewer than 100 troops.

And now the U.S. is preparing to pull out too, adding an end-of-era feel to the renaming ceremony held at one of Saddam Hussein’s former palaces on the sprawling Camp Victory complex outside Baghdad that serves as the military’s headquarters.

Army Gen. David H. Petraeus, head of the U.S. Central Command who oversees the wars in Iraq and Afghanistan, told the servicemen and diplomats assembled in the palace’s marbled foyer that the new name signaled a new phase for the U.S. military as it prepares to halt all combat operations and draw down from the current level of 110,000 troops to fewer than 50,000 by August.

The remaining U.S. troops, who will provide support and training, are scheduled to leave by the end of 2011.

Although challenges remain, in the form of a continued al Qaida in Iraq presence and Iranian-sponsored Shiite Muslim militias, Petraeus said, “there has been sustained progress.”

Army Gen. Ray Odierno, commander of U.S. forces in Iraq, hailed the absence of American casualties in December as “a significant milestone” in the U.S. efforts to leave behind a stable country.

So far, 4,371 U.S. servicemen and 318 coalition members have lost their lives in Iraq.