The coalition says it takes great care to avoid killing civilians and investigates reports that it has done so.
SDF spokesman Mustafa Bali posted on Twitter: "This is not a victory announcement, but a significant progress in the fight".
Pointing to the bottom of the map, which showed virtually no territory controlled by ISIS, "there is no red", the president added.
The SDF, backed by US air power, swept on Tuesday into a camp where hundreds of fighters had been making their last stand with thousands of civilians, many their own wives and children.
After U.S. -backed Syrian Democratic Forces (SDF) pushed insurgents back against the Euphrates River outside of the besieged village of Bāghūz over the past few days, some are saying the final offensive against the Islamic State in Iraq and Syria (ISIS) has led to the caliphate finally crumbling. Less than two weeks ago, Islamic State militants, along with the women and children of their families, began surrendering in the hundreds to USA -backed forces.
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Earlier on Wednesday, March 20, AFP correspondents saw trailer trucks carrying women and children exiting the jihadist redoubt.
Trump, who spoke at the White House, announced that the last of the Islamic State's territory in Syria was now being liberated by US-backed forces and that the situation would be resolved "by tonight". The sheer number who emerged - almost 30,000 since early January, according to Kurdish officials - took the SDF by surprise.
Around 2000 women and children from Baghouz arrived on Wednesday night at the largest camp - Al Hol. "Many have been caught up in the fighting and dozens have been burnt or badly injured by shrapnel", Wendy Taeuber, IRC's Iraq and northeast Syria country director, said in the statement.
The loss of Baghouz will mark the end of ISIS as a land-controlling force but not as a potent military player in the region.
"In Syria we're leaving 200 people there and 200 people in another place in Syria closer to Israel for a period of time".