"We strongly urge the parties to engage seriously in this process to avert a further deterioration in the humanitarian crisis suffered by ordinary Libyans as a result of the ongoing conflict, and to prevent the further erosion of Libya's sovereignty and security," the statement said.
The countries praised the "extraordinary efforts" of UN Special Representative for Libya Bernardino Leon, who earlier proposed that warring parties in Libya "freeze" the ongoing military conflict and get back on track toward a political dialogue.
Libya has been gripped by violence since the 2011 overthrow of Muammar Gaddafi. The internal political crisis has resulted in a two-government system, with the Islamist-backed, self-proclaimed government of Omar Hassi, contesting the leadership of Abdullah Thani's internationally recognized government. In addition, government forces are fighting with numerous armed rebel groups.
On Saturday, the UN Support Mission in Libya (UNSMIL) said it would host a meeting between Libya's warring factions next week that will also touch on security arrangements to stop armed hostilities in the country.