Hong Kong's Acting Chief Executive Carrie Lam said on Tuesday that police are prepared to help enforce the injunction in protest areas, abide by the High Court instructions.

Lam's comments come a day after Hong Kong's High Court extended injunctions forcing the demonstrators to leave all but one of the protesting sites.

Lam said the law enforcement personnel will not rule out possible arrests when necessary.

The official said the High Court had decided to continue the injunction orders with regard to occupied areas in commercial districts of Admiralty and Mong Kok on Monday.

"The court has already authorized the bailiff to request police assistance where necessary and has authorized the police to arrest and remove anyone obstructing or interfering with any bailiff in enforcing the terms of the injunction orders," said Lam.

"I strongly urge protesters who are still staying in the occupied areas, whether the areas are covered by the injunctions or not, they should voluntarily and peacefully leave the areas as soon as possible so that the roads as well as the building entrances could be reopened," Lam said.

The Hong Kong Special Administrative Region (HKSAR) government is committed to safeguarding the rule of law, and members of public have always respected court decisions, said the official.