“What we need right now is justice, not more violence,” lawyers for the family of Gaige Grosskreutz, who was shot and injured by Rittenhouse, said in a statement.
Jacob Blake’s uncle was outside the court when Mr Rittenhouse was acquitted.
“We’re going to continue to fight and we’re going to continue to be peaceful. Let freedom ring,” Justin Blake said.
Huber’s family said the verdict “sends the unacceptable message that armed civilians can show up in any town, incite violence, and then use the danger they have created to justify shooting people in the street.”
Rittenhouse is now in an undisclosed location, a spokesman for his family told CBS.
“In this whole situation there are no winners, there are two people who lost their lives and that’s not lost on us at all,” they said.
A divided nation
The verdict has prompted strong reactions from both sides.
Derrick Johnson, the president of the civil rights organisation NAACP, tweeted that the verdict “is a reminder of the treacherous role that white supremacy and privilege play within our justice system”.
Prominent civil rights activist Reverend Al Sharpton said the “outrageous and dangerous” verdict will encourage vigilantes to use violence to assert their power.
“These continue to be dark days for black people killed at the hands of people that believe our lives do not matter,” he said in a statement.
There are also concerns about the legal precedence the verdict could set for future cases.
California’s Governor Gavin Newsom wrote: “America today: you can break the law, carry around weapons built for a military, shoot and kill people, and get away with it.”
President Joe Biden said he was “angry and concerned” at the verdict, but that “the jury has spoken”.
Conservatives argue Rittenhouse asserted his right to bear arms and defended himself.
Former President Donald Trump congratulated him in a statement emailed to his supporters. “If that’s not self-defence, nothing is!” he wrote.
Several Republican lawmakers said they would like to offer a congressional internship to Mr Rittenhouse.
One of them was the representative of North Carolina, Madison Cawthorn, who on an Instagram story said: “You have a right to defend yourself, be armed, be dangerous and be moral.”
Following the verdict, right-wing Fox News host Tucker Carlson posted a clip of an exclusive interview with the teenager, to be broadcast on Monday.
“The jury reached the correct verdict – self-defence is not illegal,” Mr Rittenhouse says in a video which appears to have been filmed moments after the decision.
He also talks about the “scary” nightmares he has of “what could have happened” if he had been “seriously injured or hurt or dead”.