The president "ordered federal aid to supplement state and local recovery efforts in the area affected by severe storms, flooding, landslides and mudslides," the White House said in a statement.
At least three dead in Japan landslides, floods
Days of heavy rain have caused massive flooding in the state, where high waters have washed away cars, trapped hundreds and cut power to large areas.
More than 21,300 people were without power across the state Saturday evening according to the West Virginia Division of Homeland Security and Emergency Management.
Hundreds of homes had been severely damaged or destroyed and more than 60 roads remained closed, it said.
Photos on the division's Facebook page showed a muddy, swollen river in the West Virginia town of Clendenin that had spilled over its banks and inundated a nearby neighborhood with floodwater.
Obama's disaster declaration makes federal funding available to Greenbrier, Kanawha and Nicholas counties.
Two dead in Germany floods
The latest fatality from the flooding was reported Saturday in Greenbrier County, bringing the overall tally to 24 people dead, state spokeswoman Jessica Tice told AFP.
Among the dead was an eight-year-old boy who was swept away while walking along a creek bank with his mother and sister, local news station WSAZ reported. His body was found after three hours of searching.
West Virginia Governor Earl Ray Tomblin said Saturday he expected 400 National Guard members to be deployed during the day to assist local emergency responders in their relief efforts.
He said that support from the Federal Emergency Management Agency (FEMA) that was released under the disaster declaration would "provide much needed assistance to severely impacted regions."
Death toll from Indonesia floods, landslides rises to 43
In five of the worst-hit counties volunteer centers were being set up, according to the West Virginia Division of Homeland Security and Emergency Management.
It said that three Red Cross shelters and a number of community-based shelters had also been established across the state.
"We have so many businesses, individuals and churches really rallying together and gathering supplies," Tice said.
The devastating flooding also forced the PGA Tour to cancel its Greenbrier Classic scheduled for July 7-10 in White Sulphur Springs, West Virginia.
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