The group believes that the Section 30 powers allowing the police to remove under-16s from designated areas after 9pm amount to a curfew, and infringe a young person's right to live their life without unnecessary interference from the police.
Alex Gask, a solicitor in Liberty's legal department, said: "We are arguing for a change in the law to make the police require a reasonable suspicion of antisocial behaviour before they use the powers."
Gask added that the court could rule that the antisocial behaviour powers are incompatible with the Human Rights Act, at which point it would be up to Parliament to find a solution.
Liberty is fighting the case on behalf of a 14-year-old boy from Richmond in Surrey. The High Court hearing is expected in the first few months of this year.
www.liberty-human-rights.org.uk.