The Telegraph understands that more than a dozen protesters have been identified by authorities as breaking an injunction, and that more are expected to be found before being taken to court for contempt.
If a judge finds that the defendants are in contempt of court for breaking the injunction, they could face up to two years in prison, or receive a fine.
A UK Government spokesperson said: “Insulate Britain’s actions are dangerous and disruptive, and we urge them to call off their reckless campaign for good.
“National Highways is applying to the High Court to take action against the protestors who have broken injunctions, and is working with the police to gather evidence.
“Those that breach the injunctions will be served with court papers and can face imprisonment and/or an unlimited fine.”