Israel and Lebanon have agreed to a 45-day extension of a ceasefire US President Donald Trump declared on April 16, the US State Department said.

"The April 16 cessation of hostilities will be extended by 45 days to enable further progress," State Department spokesman Tommy Piggott said on Friday.

The State Department cast Israel-Lebanon talks, held in Washington on Thursday and Friday, as "highly productive".

Fought in parallel to the US-Iran conflict, Israel's war in Lebanon has rumbled on since US President Donald Trump declared a ceasefire on April 16, though hostilities have largely been contained to southern Lebanon since then.

Pigott said the State Department will reconvene the political negotiations track June 2-3.

He also announced that a separate “security track” involving military delegations from both countries will be launched at the Pentagon on May 29.

“We hope these discussions will advance lasting peace between the two countries, full recognition of each other’s sovereignty and territorial integrity, and establishing genuine security along their shared border,” Pigott said.

The announcement followed a third round of US-mediated negotiations held at the State Department.

A State Department spokesperson described the discussions to Anadolu as “very positive, even exceeding expectations.”

According to a State Department official, the United States was represented in the talks by State Department Counselor Michael Needham, US Ambassador to Israel Mike Huckabee and US Ambassador to Lebanon Michel Issa.

Lebanon was represented by Ambassador Nada Hamadeh Moawad and Lebanese presidential envoy Simon Karam, the official said.