Thirteen people were arrested after multiple acts of vandalism and several assaults in Los Angeles' Crenshaw District, Mayor Eric Garcetti and Police Chief Charlie Beck said at a news conference.
Garcetti and Beck didn't elaborate on the assaults or any injuries, but at least one man could be seen in the street with a head injury.
More than 300 officers were called to the scene and were at first slow to directly engage protesters in an attempt to allow a peaceful end to the demonstration, Beck said. But the chief said police would take a much stricter posture in the coming nights.
"This will not be allowed to continue," Beck said.
Several hundred mostly peaceful protesters gathered Monday night at Leimert Park southwest of downtown LA, many of them chanting, praying and singing.
But a smaller group of between 100 and 150 people splintered off and began blocking traffic on nearby Crenshaw Boulevard, some of them jumping on cars and breaking windows at liquor stores and fast food outlets.
Several protesters ran into a Wal-Mart store, where they knocked down displays before store security chased them out, and police began guarding the door.
Tonya Williams was shopping with her daughter when the protesters burst in and security briefly locked down the store.
"We thought we were going to be stuck in there," Williams said. "We saw the merchandise all thrown around. They had pulled the rack down, and there was merchandise all over the floor."
TV news helicopters showed some people kicking and punching others along the street, including two people sitting on a bus bench.
Police declared the gathering an unlawful assembly about three hours after it began, and most of the crowd left the street.
Garcetti, who returned early from an East Coast trip because of the demonstrations, praised the "overwhelming majority" who protested peacefully.
"We are a better city than what we have seen tonight in the hands of a few people," the mayor said.
In Oakland, dozens of demonstrators briefly blocked all lanes of Interstate 880 at the tail end of rush hour, stopping traffic in both directions for several minutes before lanes were cleared by authorities. Several protesters laid their bicycles on the ground in front of stopped cars.
"You've got to go. You will go to jail," one police officer shouted at demonstrators who were blocking traffic, the Oakland Tribune reported. However, police decided not to make arrests as the marchers, chanting "Justice for Trayvon Martin," were directed back to surface streets.
Later, another group tried to march up the onramp to Interstate 580 before being turned away by Oakland police and California Highway Patrol officers.
The freeway protesters broke off from a larger group organized via social media that gathered at Oakland City Hall about an hour earlier.
More than a half-dozen people were arrested on charges of vandalism and assault, both felony and misdemeanor, Oakland police spokeswoman Johnna Watson said.
Over the weekend, demonstrators in Oakland and Los Angeles blocked traffic and clashed with police in protests over a Florida jury's acquittal of neighborhood watch volunteer Zimmerman in the shooting death of the unarmed black teenager.
Police shot beanbag rounds and arrested six people - including one on suspicion of assaulting an officer - while breaking up relatively small demonstrations before dawn.
No injuries were reported to either demonstrators or officers.
Most demonstrations around the state were peaceful.
Democratic Sen. Barbara Boxer sent a letter Monday to U.S. Attorney General Eric Holder supporting the Justice Department decision to review the case to determine whether Martin's civil rights were violated.
"I respect the fact that the jury has spoken ... but I don't think this should be the last word," Boxer wrote in the letter.
CAIRO (AP) - A senior Health Ministry official says clashes overnight between police and supporters of Egypt's ousted president have left at least seven people dead.
Khaled el-Khateib also says 261 people were injured in the violence that broke out late Monday and carried on into the early morning hours of Tuesday in four different locations in the capital, Cairo.
Thousands of supporters of Mohammed Morsi, who was overthrown by the military, were protesting to press their demands that Morsi be reinstated as president.
Egypt's military deposed Morsi on July 3 after days of mass street protests calling for him to step down.
The ousted president's supporters say he was ousted by a military coup that overturned democratic rule.
PHOENIX (AP) - Jodi Arias returns to court today as her attorneys ask the judge to vacate the jury's decision that the 2008 killing of her boyfriend was "especially cruel," a finding that allowed the panel to consider the death penalty.
Arias was convicted of first-degree murder May 8 in the stabbing and shooting death of Travis Alexander in his suburban Phoenix home. About two weeks later, the same jury failed to reach a unanimous decision on whether to sentence Arias to life in prison or death. While her murder conviction stands, the judge declared a mistrial of the penalty phase.
Prosecutors say they are preparing to try again for the death penalty with a new jury, but would consider a resolution short of a new trial.
Arias admitted she killed Alexander, but claimed it was self-defense.