Sirens wailed in southern Israel, warning of incoming rockets from Gaza, and Israeli media reported six people were wounded by shrapnel in the border town of Sderot. Two of those were critically wounded, according to the report.
Eight rockets were fired from Gaza and four fell into Sderot settlement.
Streaks of light are pictured as rockets are launched from the northern Gaza Strip toward Israel, as seen from Sderot, Aug. 8, 2018.
Gaza's Health Ministry said three Palestinians were slightly injured in the strikes.
Israeli forces said in a statement about 150 rockets were fired from Gaza and at least 25 had been intercepted.
In another separate incident on Wednesday, IDF said that "terrorists fired shots at civilians" engaged in the construction of the barrier along the security fence near the northern Gaza Strip and that an engineering vehicle was hit.
Following the strike, Hamas' Izzedine Al-Qassam Brigades announced that two of its members were killed in the strike, naming them as Ahmad Margan and Abdel Hafex Al-Silawi, both 23-years-old and from the Jabalia refugee camp.
In response, a tank targeted a Hamas position, since Israel holds the organization responsible for all violence coming from Gaza.
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The protests call for Palestinians to be able to return to the land they or their families fled or were expelled from in the 1948 war that established the state of Israel.
The last four months have seen an upsurge in violence along the Gaza-Israel border. Israel temporarily suspended fuel shipments to Gaza in July for similar reasons.
Yesterday, an IDF tank shelled a Hamas observation post along the Gaza border, which killed two terrorists, after an attack by Hamas snipers.
The demonstrations have been fueled in large part by pervasive despair caused by the blockade that has caused widespread economic hardship and left the coastal territory with crippling fuel shortages and just a few hours of electricity a day.
Palestinian health officials said on Wednesday that two of the victims were a pregnant woman and her 18-month old child as the Israeli army claimed it bombed Hamas military targets in the enclave in response to rocket fires..
A Hamas militant was also killed in one of the strikes, while at least 12 people in Gaza were reportedly injured, health officials said.
No group has taken responsibility for the attacks thus far, but Israel is holding Hamas responsible, as it has maintained sole control over the enclave since 2007. He said by the end of the month, all fuel supplied by the United Nations will run out "and the problem is there is no sign of renewed funding from donors in the horizon".