Reports from residents stated that heavy shelling could be heard in several parts of Tripoli late on Tuesday.
He also voiced hope that the Libyan people get rid of the terrorist groups in Tripoli just like they did in Benghazi and Derna in eastern Libya.
The UN Security Council is considering a British-drafted resolution that would demand a ceasefire in Libya and call on all countries with influence over the warring parties to ensure compliance.
The resolution also calls on the conflicting sides to support UN Special Envoy for Libya and Head of the UN Stabilization Mission in the Middle Eastern country (UNSMIL) Ghassan Salame's efforts toward achieving a political solution in the ongoing crisis and provide unhindered humanitarian access in war zones.
Haftar and his force launched an assault on the Libyan capital on April 4 under pretext of curbing terrorism in the country.
"I am deeply concerned about the escalation of violence in Libya in the context of the resurging conflict arising from the advance of the LNA towards Tripoli, and related fighting with forces aligned with the GNA", she said.
On the ground, fierce clashes were reported on Tuesday afternoon between the LNA and forces loyal to Fayez al-Sarraj's Government of National Accord (GNA) in the western military region in al-Aziziya in southern Tripoli.
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The proposed measure echoed a call by United Nations chief Antonio Guterres, who was in Libya to advance prospects for a political solution when Haftar launched his offensive.
Haftar, seen by other allies Egypt and the United Arab Emirates as a bulwark against Islamists, has declared he wants to seize the capital.
Resolutions adopted by the council are legally binding.
In addition to the Presidential Council - based in Tripoli - Libya now has another power from Parliament in Tobruk, controlled by Haftar; and a third as a result of the important alliance between the city-states of Misrata and Zintan, in the northwest of the country.
Security Council members have been divided over Hifter's offensive.
Haftar's offensive forced the United Nations to postpone a national conference that was to draw up a roadmap to elections, meant to turn the page on years of chaos since the 2011 ouster of Moamer Kadhafi.