Two children and the pilot were among the dead, local media reported, citing Theresa Maule Rossow, the state's attorney for Brule County.
Three people were reportedly injured. 12 people were on board the plane.
The three survivors were transported to Sioux Falls for treatment, Rossow said.
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Rossow also said that first responders and medical professionals worked to rescue the victims in "extreme weather conditions".
Chamberlain and central south-central South Dakota was under a winter storm warning Saturday and Benton said planes were unable to land at Chamberlain at the time of the crash.
Photo of a Pilatus PC-12 single-engine plane courtesy of Pilatus Aircraft Ltd. The Weather Service warned of ice, snow and winds gusts asstormy weather around the USA is predicted to hit millions of travellers returning from Thanksgiving trips.
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Knudson told the Associated Press weather will be among several factors that the agency will investigate, but said it was too early to determine.
The plane was leaving Chamberlain, heading to Idaho.
NTSB investigators were expected at the site later Sunday. There was no immediate word on the identities of those on board, but federal records show that the aircraft was registered to Conrad & Bischoff, a company based in Idaho.
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