Civil rights leaders appealed for calm out of respect for Martin and his family.
"His name and memory should not be smeared by reckless violence," Sharpton said.
Civil rights leader, John Mack, now a member of the Los Angeles police commission, said those behind the violence "have their own agendas that have nothing to do with justice, and very little to do with Trayvon Martin."
Taking Zimmerman's side
Of course, not everyone disagreed with the jury's verdict. On a Facebook page dedicated to discussion of the trial, Facebook user Lorraine Keeley said the jury got it right.
"The jurors have spoken. ... kudo's to this great defense team," Keeley wrote.
More controversially, conservative rock singer Ted Nugent called Martin a "dope smoking, racist gangsta wannabe" in defending the verdict in a column for the website Rare.
"Here's the lesson from all this, America," Nugent wrote. "Teach your children to not attack people for no good reason whatsoever. Conduct yourself in a responsible, civil manner, and everything will be just fine. Try to kill someone and that someone just may be exercising his or her Second Amendment rights and you could get shot. It's called self-defense, and it is the oldest, strongest and most righteous instinct and God-given right known to man."
Meanwhile, Zimmerman's parents, Robert and Gladys Zimmerman, offered more conciliatory words in an ABC interview.
"We are deeply sorry for this tragedy," Gladys Zimmerman said.