The United Nations envoy for Libya has proposed the formation of a national unity government after months of difficult talks.
Since 2014 Libya has had two rival parliaments - an Islamist-backed one in Tripoli and an internationally recognised government in the east.
UN envoy Bernardino Leon told a news conference in Morocco that Fayez Sarraj would be nominated as prime minister.
But both parliaments must back the deal and some MPs cast doubt on the UN plan.
Abdulsalam Bilashahir, of the Tripoli-based General National Congress (GNC), told the BBC: "We are not a part of this (proposed) government. It means nothing to us and we were not consulted."
Ibrahim Alzaghiat, of the House of Representatives (HoR), based in Tobruk, said: "This proposed government will lead to the division of Libya and will turn it into a joke. Mr Leon's choice was unwise."
However, Mr Leon said he believed that the list of proposed ministers for the unity body "can work".
"After a year of work in this process, after working with more than 150 Libyan personalities from all the regions, finally the moment has come in which we can propose a national unity government," Mr Leon said in the Moroccan city of Skhirat.
"All of them will work as a team. This was not an easy task," he added.
Other posts in the proposed government include three deputies for the prime minister to represent Libya's east, west and south.
The BBC's North Africa correspondent said there were now likely to be long talks in the rival authorities over whether to accept the proposal.
One of the proposed deputy prime ministers, Mussa al-Kouni, said: "The hardest part has just begun."
A loose alliance of militias, including Islamists, seized the capital, Tripoli, in August 2014 and reinstated the GNC, forcing the existing and internationally recognised government to flee to the eastern city of Tobruk.
Libya's politicians have faced increasing pressure from the West to reach agreement on a unity government.
Libya has suffered years of unrest since the overthrow of dictator Muammar Gaddafi in 2011.
The violence and political chaos have allowed Islamist militants to gain ground in Libya and also seen human traffickers use the Libyan coast to send tens of thousands of migrants across the Mediterranean to Europe.