Fighting near Tripoli has killed 121 people and wounded 561 since strongman Khalifa Haftar launched an offensive earlier this month to take the Libyan capital, the World Health Organisation has said.

It comes as Egyptian President Abdel Fattah al-Sisi met Sunday with the Libyan commander whose forces are fighting for control of the capital Tripoli, state media reported.

They "are discussing the latest developments in Libya" at the presidential palace in Cairo, state newspaper Al Ahram said.

Sisi has been an ardent supporter of Haftar's forces, which control swathes of eastern Libya and launched an offensive on April 4 to take the capital.

WHO's Libya account said on Twitter the organisation was sending medical supplies and more staff to Tripoli, and denounced "repeated attacks on health care workers, vehicles" during the fighting which erupted on April 4.

Two more ambulances were struck in #Libya Saturday during the #Tripoli fighting, bringing the total number to 8 since the violence began. WHO strongly condemns repeated attacks on health care workers, vehicles. @OCHA_Libya @WHOEMRO @WHO @UNSMILibya #NotATarget pic.twitter.com/mscpuwzi7q — World Health Organization in Libya (@WHOLIBYA) April 13, 2019

Haftar's forces, which control swathes of the country's east, have defied international calls to halt their battle against fighters loyal to the UN-backed Government of National Accord based in Tripoli.

The United Nations' office for humanitarian affairs said more than 13,500 people had been displaced by the clashes, while more than 900 residents are living in shelters.

"Three medical personnel have been killed and five ambulances have been incapacitated by shrapnel," OCHA said in a statement on Saturday.

As well as fighting on the ground, the two sides have launched daily air raids and accuse each other of targeting civilians.

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The north African country has been in turmoil since the NATO-backed overthrow of dictator Moamer Kadhafi in 2011, which has led to the creation of a bewildering array of militias all seeking to take control.

Haftar backs a rival administration based in eastern Libya that refuses to recognise the UN-backed unity government led by Fayez al-Sarraj.