The Israeli military said Palestinian militants had attacked its troops along the border with gunfire and a grenade. One Israeli army vehicle was sacked on, and Palestinians planted a grenade that exploded on the Israeli side of the fence, the military said.
Among the targets were two ammunition manufacturing and storage sites, the Israeli military said, as well as a military compound.
"With its votes today, the UN Security Council majority showed that it was willing to blame Israel, but unwilling to blame Hamas, for violence in Gaza", Haley said.
The United States has vetoed a U.N. Security Council resolution seeking protections for Palestinian civilians in the Israeli-occupied territories and Gaza, while a competing US-sponsored draft that blamed the Hamas movement for the recent surge in violence was resoundingly defeated in the 15-member body.
There were no reports of casualties in Gaza.
The Iron Dome aerial defence system intercepted one projectile, while the other was believed to have fallen short of its target and landed within Gaza, according to the army.
On Friday, a 21-year-old volunteer paramedic was shot as she tried to help evacuate wounded protesters near Israel's perimeter fence with Gaza.More news: Napoli thanks Sarri for contributions after Ancelotti talks
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At least 119 Palestinians have been killed by Israeli fire in weekly border demonstrations launched on March 30 in the Gaza Strip.
The attacks come less than a week after Egypt brokered a ceasefire between Israel and Palestinian militants following a month of unrest arising from the Great March of Return protests and the U.S. decision to move its embassy to Jerusalem.
"Being a medic is not only a job for a man", Razan al-Najjar, 20, said in an interview at a Gaza protest camp in May.
After the funeral procession, protesters rushed to the border and cut through a barbed wire fence before Israeli soldiers opened fire, dispersing them.
Low-level demonstrations have continued since.
Smoke rises following an Israeli airstrike on Gaza City on Wednesday.
Following the funeral, several Gazans were wounded in clashes east of Khan Yunis, the health ministry said.
Earlier this week, in response to a barrage of rockets fired into civilian areas of Israel, the United States called for an emergency meeting of the Security Council, where many Council ambassadors criticized Hamas and Islamic Jihad for the action.
Her father, Ashraf al-Najjar, had a shop that sold motorcycle parts, which was destroyed in an Israeli airstrike during the 2014 war between Israel and the militant group.