"No justice, no peace... Black lives matter".

Protestors chanted and covered the entrance to the Alice Springs Supreme Court with red paint, demanding justice for Kalgoorlie teenager Elijah Doughty and eventually storming the building.

As tensions boiled over, a group of about 40 protestors ran out of the Supreme Court and started heading for nearby Local Court, with police and security guards forming a line to prevent them from gaining access.

Both the Alice Springs supreme and local court were locked down on Friday afternoon, with police and security guards coming up close and personal with some of the protestors.

While face to face with an officer, one protestor yelled out "when you come for justice and they lock the doors on you".

NT Police arrested Joanne Voller for allegedly painting glass and kicking doors. ( ABC News: Claire Campbell )

Others questioned what the "legal justification" was for not allowing the protestors in.

Former Don Dale youth detainee Dylan Voller was at the protest, with his mother, Joanne Voller arrested for allegedly painting the glass and kicking the doors.

She has since been released with an infringement notice.

The protest had begun peacefully outside the Supreme Court just after midday with protesters united in their calls against the verdict handed to a man who killed West Australian teenager Elijah Doughty.

The 14-year-old boy was fatally run over in Kalgoorlie in 2016 and last Friday a man was sentenced to three years in jail for dangerous driving occasioning death.

It was a scenario too close to home for family members of Jack Sultan-Page, who took part in the rally.

Jack Sultan-Page was eight years old when he was killed in a hit and run in Darwin in 2014 with the driver of the car handed an 18-month suspended sentence and six months of home detention.

Security guards and police formed a line to guard the Alice Springs Local Court. ( ABC News: Claire Campbell )

"We're disgusted, sad, angry," Zahri Sultan said.

"I just felt sorry for the family because I know the feeling of seeing someone walk free and the child's life is gone.

"It means a lot for us to march to protect our future kids too; black lives do matter."