A Palestinian woman was killed after Israeli settlers threw stones at her vehicle late Friday night near a checkpoint in the West Bank, local media reports.
Four of the seven were killed in a single incident when they breached the Israeli side of the fence and approached an army post, the Israeli military said.
The Palestinians want to establish an independent state in the West Bank, Gaza and East Jerusalem - territories that Israel captured in the 1967 Middle East war.
Elsewhere in Khan Younis and at Nuseirat refugee camp in central Gaza, hundreds of people held funeral ceremonies for Ahmad al-Tawil as well as 17-year-old Ahmed Abu Naim who lost their lives during anti-occupation rallies east of al-Bureij refugee camp on Friday.
CNN crews witnessed Palestinians throwing grenades and burning tires, and burning the border fence - with Israeli forces responding with tear gas, live fire and a water cannon.
The Israeli military said 14,000 Palestinians thronged the border fence areas Friday.
Five then tried to attack an army base and were shot, he said.
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"There has been an increase in the rate of injury to Palestinian civilians", the organization wrote in a statement, while calling on the Israeli security forces to protect Palestinian civilians.
The majority were killed during border demonstrations, though others have died in airstrikes and tank shelling. Palestinian protesters demand the right to return for those driven out of their homeland.
However, thousands again gathered Friday in sites along the border, AFP correspondents said.
The Palestinian protesters are demanding an end to an Israeli and Egyptian blockade on the narrow coastal strip, which is home to around two million Gazans.
Israel accuses the enclave's rulers Hamas of leading the protests and using them as a cover for attacks.
There had been hopes the protests would ease after the UN-brokered agreement to ease the strip's energy crisis took effect this week.
Hamas leader Ismail Haniya also attended the protests east of Gaza City and hailed the ongoing demonstrations.