Unrest broke out on Sunday over the killing of an unarmed black teenager by a police officer in Ferguson.
People looted shops, vandalised cars and stores, and set a building alight as police tried to block off access to several areas of the city.
Police say Michael Brown, 18, was shot on Saturday afternoon in the mainly black suburb of St Louis.
He was shot several times after a struggle in a police car, they said.
On Monday, dozens of residents marched through the streets demanding justice.
As residents began the task of cleaning up, some said they believed the violence was not over.
DeAndre Smith, 30, of Ferguson told the St Louis Post-Dispatch that the rioting reflected a sense of injustice in the community.
"I don't think it's over honestly," he said. "I just think they got a taste of what fighting back means."
St Louis County police say the FBI has now taken over the investigation into Mr Brown's death.
The rioting erupted late on Sunday after thousands of people attended a candlelight vigil for the slain man.
County Police Chief Jon Belmar said the shooting occurred after the officer encountered two men, including Mr Brown, on a street in Ferguson.
Mr Belmar said one of the men pushed the officer back into his squad car and a struggle began.
At least one shot was fired from the officer's gun inside the police car, Mr Belmar said.
But authorities say they are still trying to clarify exactly what happened inside the vehicle.
The officer involved has been with the Ferguson police department for six years, and has been placed on paid administrative leave, Mr Belmar said.
Mayor James Knowles said he understood that people "want to vent their frustrations. We understand they want to speak out", but he added: "We're going to obviously try to urge calm."
Mr Brown's mother, Lesley McSpadden, said her son had graduated from high school and planned to go to a local college.
The killing has drawn comparisons by some civil rights leaders with the 2012 killing of 17-year-old Trayvon Martin by a Florida neighbourhood watch organiser who was acquitted of murder charges.
"We're outraged because yet again a young African-American man has been killed by law enforcement," said John Gaskin, of the civil rights group NAACP.

In the six months to 13 August, sales climbed 14.4% to Â£259.5m, with profits rising 20.5% to Â£21.5m.
This was despite rival retailers struggling due to unseasonal weather.
"This is the company's first update since Brexit, and is a strong showing," said George Salmon, an analyst at Hargreaves Lansdown.
"The second half of the year is more important to Ted Baker than the first, nonetheless the news that sales growth remains robust provides reassurance that the group can continue to thrive, even in challenging times."
The company, which opened its first store in Glasgow in 1988, now has 470 outlets worldwide selling fashion and accessories.
It grew in all its markets, with retail sales in the UK and Europe - its biggest market - up 8.5%. In North America sales climbed 28.7% and they were 15.8% higher in Asia.
Online sales meanwhile leapt 29.7% as the firm invested in web design, personalised content and language-specific websites.
Brands such as Next and H&M have reported below-forecast results this year, with sales hit by colder weather in March and April this year.
However, Zara-owner Inditex reported strong first-half profits, driven partly by rising online sales.

The fire in Barn End Lane, Wilmington, was reported at about 07:40 BST, Kent Fire and Rescue Service said.
At its peak, eight fire crews tackled the blaze in one of the flats, which spread smoke to neighbouring flats. The cause of the fire is not yet known.
The man was pronounced dead at the scene. Eight people were taken to hospital after the fire, South East Coast Ambulance (Secamb) said.
Secamb earlier said nine people were taken to hospital but has since revised its figure.
The Kent, Surrey and Sussex Air Ambulance and nine ambulances were called to the scene.
For a time, Darent Valley Hospital in Dartford asked patients not to attend its accident and emergency department, saying the hospital was dealing with a "major incident".
The Darent Valley later tweeted: "The hospital has been stood down and normal service has resumed in the A&E Department."
Police in the US state of Missouri say they have arrested 32 people as calm returned after a night of rioting.
[NEXT_CONCEPT]
Fashion group Ted Baker has reported strong profits for the first half of 2016 despite challenging trading conditions.
[NEXT_CONCEPT]
A man in his 70s has died in a fire at a flat in a sheltered housing block.