It follows two days of unrest in St Louis and 12 other cities over a ruling not to charge Darren Wilson for the killing of 18-year-old Michael Brown.
Demonstrations appeared to dwindle on November 26 amid heavy snowfall on the eve of the Thanksgiving holiday.
A handful of protesters remain in Ferguson, where Michael Brown was killed.
The family of Michael Brown said they were left “crushed” by the ruling, which has triggered nationwide debates over relations between black communities and law enforcement.
A spokesman for state governor Jay Nixon said he would not entertain the idea of bringing in a special prosecutor to present the case to a new grand jury, the St Louis Post reports.
Earlier, Jay Nixon said the “ramped up presence” of the National Guard – which more than tripled from 700 to 2,200 on Tuesday night – in the St Louis suburb had been “helpful”.
He said he would continue to monitor the situation to see if more resources were needed.
Monday’s ruling by a grand jury not to charge Darren Wilson led to violent protests and looting in Ferguson, and dozens of arrests.
Anger spread to 12 other cities, including Philadelphia, New York, Cleveland, Los Angeles and Boston.
In Oakland, California, rallies turned violent when protesters started a street fire, while in Los Angeles there were reports of 130 people arrested.
Business owners and residents were seen clearing up the streets of Ferguson on November 26.
Some celebrities are reportedly calling for a boycott to take place on Black Friday – one of the country’s busiest shopping days after Thanksgiving – over the grand jury ruling.
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