During the weekend, fires erupted at 20 sites on the Israeli side of the border.
Thousands of Palestinians have attended the funeral in Gaza of a volunteer medic who was killed by Israeli fire during protests along the border on Friday.
In response the Israeli Air Force (IAF) launched strikes against several Hamas targets.
The Israeli military claimed that it was investigating the case.
Scores of friends and family gathered to honour the slain paramedic Razan al-Najjar in Khan Younes on Saturday.
The IDF said the events are a "continuation of Hamas's repeated attempts to turn the area next to the security fence into a violent zone" and conduct terror attacks.
Medical officials in Gaza said at least a hundred Palestinians were wounded by Israeli army gunfire during Friday's demonstrations.
On the same day the USA vetoed a resolution at the U.N Security Council demanding an end to Israel's practice of firing on unarmed demonstrators in the Occupied Palestinian Territories and the Gaza strip, outrage was again heightened after a nurse attempting to attend to injured protesters was shot and killed by IDF snipers near the Gaza border.
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Najjar was the 119th Palestinian killed since the protests began in March, according to Gaza health officials.
In a naked display of utter disdain to human values and worldwide laws, the Israeli soldiers have continued to terrorise innocent Palestinians in the occupied area.
The resolution drafted by Kuwait, the only Arab member of the Security Council, had undergone numerous revisions in recent weeks.
Israeli Ambassador Danny Danon has urged council members to vote against what he termed a "biased resolution that condemns Israel yet fails to mention the terrorists of Hamas who are responsible for the violence against Israelis and Palestinians".
The resolution came after Israeli forces killed at least 61 Palestinian people injured more than 2,700 along the Gaza border on May 14 when the United States officially moved its embassy from Tel Aviv to Jerusalem.
Low-level demonstrations have continued since.
Speaking at Najjar's funeral, Khaled Al-Batsh, one of the protest organizers, called on Gazans to "continue the return marches and break the (Israeli) siege with peaceful tools".
Since 2015, Palestinians have killed over 50 Israelis, two visiting Americans and a British tourist in stabbings, shootings and car-ramming attacks.