"We are resolved, as you are, to combat violence involving or directed at young people, to prevent future tragedies and to deal with the underlying attitudes, mistaken beliefs and stereotypes that serve as the basis for these too common incidents," he said. "And we will never stop working to ensure that -- in every case, in every circumstance, and in every community -- justice must be done."
The other side
Zimmerman's parents, Robert and Gladys Zimmerman, spoke to ABC News. In excerpts of an interview that aired Monday, they defended their son and said they are sorry for what happened.
Asked whether his son is a racist, Robert Zimmerman said: "Absolutely not. He's never been taught to be a racist."
He added that if he were his son, he would stay in hiding for a long time.
"We've had an enormous amount of death threats," Robert Zimmerman said.
Gladys Zimmerman said she would pray for Martin and for those now demanding vengeance after the verdict.
In response to what she would say to the teenager's parents, she said: "We are deeply sorry for this tragedy."
Other Zimmerman supporters -- speaking mostly through social media channels -- argued that the jury's verdict was correct.
"If Zimmerman was black, would people act the way they they're acting now? The facts found him innocent, the 'people' are the racist ones," Facebook user Ben Biller posted on the "George Zimmerman is Innocent" page.
On Twitter, user ElDonJuanDiaz posted: "George Zimmerman is a national hero. To you liberals and black people who believe everyone is racist keep crying."
Zimmerman's friend and former next-door neighbor, Jorge Rodriguez, said he always expected an acquittal.
"This is so far from being racial, it's not even funny," he told CNN's Chris Cuomo on "New Day."
"Just because he has a white last name and an African-American was dead, automatically everybody assumes racial. This is far from being race. This is just a bad situation that happened."
Tony Johnson, who is black, said he was disturbed by the "outbursts from people who didn't know the facts of the case, yet (were) still screaming about an injustice."
"I'm actually glad the verdict was not guilty," he told CNN's iReport. "Only based on the evidence that was presented in court, it screams self-defense.
"This wasn't about race," Johnson continued. "It was about a man's rights to defend himself. It's not a crime to follow anybody; therefore, the fact that they got into an altercation and George Zimmerman was forced to use deadly force, it's not a crime. Our Constitution states that."
Mark O'Mara, Zimmerman's defense attorney, said he was surprised by some of the protest.
"I'm a bit surprised that there is outrage because we had hoped that everybody would look at this case as being a very fair trial where both parties were represented well," he said.
Pushing for peace