A unanimous statement passed by the 15 members of the council yesterday called on all Libyans "to unite wholeheartedly and in a spirit of reconciliation behind this settlement, which represents the aspirations and hopes of the Libyan people."
The council also reiterated that it was "prepared to sanction those who threaten Libya's peace, stability and security or that undermine the successful completion of its political transition."
It encouraged the UN mission in Libya (UNSMIL) to help coordinate international assistance to the government that would be set up under the proposed peace accord.
It would seek to end the political turmoil that has existed since August 2014, when a militia alliance that included Islamists overran Tripoli, forcing the internationally recognized government to take refuge in the east and creating a second national administration.
UN Secretary-General Ban Ki-moon and US and European leaders also welcomed the proposed accord and urged Libyan leaders to sign off on the deal.