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Thousands of Palestinians attended the funeral on Saturday of a young female volunteer medic killed by Israeli fire in violence on the border in southern Gaza.

Razan al-Najjar, 21, a volunteer with the Gaza health ministry, was fatally shot in the chest near Khan Younis on Friday.

Ambulances and medical crews attended the funeral, with her father holding the white blood-stained medics' jacket she wore when she was shot, as mourners called for revenge.

Gazans have since 30 March staged border protests demanding the return of Palestinians to land they fled or were expelled from during the 1948 war surrounding Israel's creation.

Israeli snipers have killed over 100 unarmed Palestinian protesters since the protests began and injured some 13,000.

Following the funeral, several Gazans were wounded in clashes east of Khan Younis, health ministry spokesman Ashraf al-Qudra said.

The Israeli army claimed "a terror cell" had infiltrated from southern Gaza. Soldiers shot at the Palestinians, who returned to the enclave.

On the Friday clashes, the army said it had included "thousands of rioters" at five locations along the border, "burning tires adjacent to the security fence and attempting to damage security infrastructure".

Shots were fired at an army vehicle and a Palestinian had crossed into Israel, planted a grenade and returned to Gaza, it said.

The army said that cases such as Najjar's "in which civilians are allegedly killed" by Israeli fire "are thoroughly examined" by an internal military committee.

The UN envoy for the Middle East, Nickolay Mladenov, said in a tweet that "Medical workers are #NotATarget!" and that "Israel needs to calibrate its use of force and Hamas need to prevent incidents at the fence."

The Palestinian Medical Relief Society said Najjar was shot "as she was attempting to provide first aid to an injured protester", with three other first responders also hit by live fire on Friday.

"Shooting at medical personnel is a war crime under the Geneva conventions," the PMRC said in a statement, demanding "an immediate international response to Israeli humanitarian law violations in Gaza".

Najjar's death brings the toll of Gazans killed by Israeli fire since the end of March to 123.

The demonstrations and clashes peaked on 14 May when at least 61 Palestinians were killed in clashes as tens of thousands of Gazans protested the US transfer of its embassy in Israel to the disputed city of Jerusalem the same day.

Low-level demonstrations have continued since.

Speaking at Najjar's funeral, Khaled al-Batsh, one of the protest organisers, called on Gazans to "continue the return marches and break the (Israeli) siege with peaceful tools".