In a statement late Friday, the Government of National Accord (GNA) called on the UN mission to "present the Security Council with the reality of the bloody events in Libya so that it can... protect the lives and property of civilians".
Fighting slowed Saturday morning a day after clashes left 15 dead and dozens more wounded, according to health ministry spokeswoman Wedad Abu al-Niran.
The latest casualties brought the death toll to more than 100 since clashes erupted on the capital's southern outskirts on August 26, according to the GNA body that deals with the wounded.
The Libyan capital has been at the centre of a battle for influence between armed groups since dictator Moamer Kadhafi was ousted and killed in a NATO-backed uprising in 2011.
Despite a ceasefire deal reached on September 4, renewed fighting erupted this week, especially in the Salaheddin neighbourhood and on the road to Tripoli's disused international airport, which was destroyed in 2014.
The feuding militias come mostly from Libya's third city Misrata and the town of Tarhouna southeast of the capital.
UN Secretary General Antonio Guterres was "alarmed by the increasing number of violations of the ceasefire agreement", his spokesman said on Friday.
Guterres called on the militias to respect the truce and to "refrain from any actions that would increase the suffering of the civilian population".
Those responsible for "the violation of international humanitarian law and international human rights law must be held responsible", he said.
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