Hundreds of Palestinians took half in a mass protest alongside Gaza's unstable border with Israel, the second large-scale demonstration in what is predicted to be a gentle turnout over the approaching weeks.
Israel has drawn sharp criticism for its open-fire orders along the border, including its warnings that those approaching or trying to damage the fence would be targeted.
Hamas' Gaza leader, Yehya Al-Sinwar, spoke at a protest encampment to praise those who turned out to confront the "enemy who besieges us".
The day of violence, which saw bigger Palestinian crowds than in recent days but not as large as when the demonstration began last Friday, calmed down as night descended.
"There are no innocent people in the Gaza Strip", Mr Lieberman told Israel's public radio.
Gaza: Israel has chose to ban the entry of auto tires into the Gaza Strip through the Kerem Shalom commercial crossing, a Palestinian official said on Saturday.
Haaretz said the Israeli army is using live fire because it fears a massive breach of the aging Gaza fence.
He further told the demonstrators that "the killing and wounding of yet more unarmed Palestinian protesters yesterday by Israeli forces in Gaza is an outrage", underlining that "firing live ammunition into crowds of unarmed civilians is illegal and inhumane and can not be tolerated".
Israel said around 20,000 people took part in the protests and that they were seeking to breach the border.
The blockade has made it increasingly hard for Hamas to govern.
The U.S. for a second week in a row blocked a Security Council statement supporting the right of Palestinians to demonstrate peacefully and endorsing Secretary-General Antonio Guterres' call for an independent investigation into the deadly protests in Gaza.
Gaza's economy has been devastated by years of Israeli military attacks and a joint Israeli-Egyptian blockade.
Israeli troops on the other side of the fence responded with tear gas, rubber-coated steel pellets and water cannons, as well as occasional live fire.
The International Criminal Court at The Hague may prosecute Israel over the deaths of Arab rioters who clashed with IDF forces on the Gaza-Israel frontier over the past week and a half, a top ICC official warned Sunday.
Criticizing the silence from the worldwide powers, Corbyn has urged the United Kingdom government to "support the UN Secretary-General's call for an independent global inquiry into the killing of protesters in Gaza and review the sale of arms that could be used in violation of global law". Israel has mobilized snipers and different particular forces on the opposite facet of the fence.
Hamas may capitalize on any hatred of Israel amongst Gazans, over half of whom are descendants of refugees from what's now Israel.
The Great March of Return is due to continue until May 15, the day Palestinians call the Nakba or Catastrophe, marking the displacement of hundreds of thousands of Palestinians in the conflict surrounding the creation of Israel in 1948.