Gaza health officials said three Palestinians were wounded in one of the Israeli strikes.
The Israeli military says the Palestinian Islamic Jihad group instigated the current round of Gaza-Israel violence.
Hamas, the group that rules the Palestinian enclave, said two members of its armed wing had been killed and three wounded when Israel bombed one of its positions in central Gaza.
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It was not yet clear if there were casualties on the Israeli side.
Hamas did not immediately comment on the affiliation of the Palestinians killed but pledged to respond to what it called an "Israeli aggression". More than 70 Israelis and one foreign national were also killed.
Israel launched airstrikes Friday after two Israeli soldiers were wounded by sniper fire along the Gaza border.
The Israeli Defence Force said in a statement today that 10 sites belonging to the territory's Hamas rulers and the smaller Islamic Jihad group were hit by air strikes.
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On Tuesday, Israel reduced Gaza's fishing limit from 15 to six nautical miles after it alleged a rocket was sacked from the territory by Islamic Jihad - an allegation the group denied. "Even as the exchange of fire is worsening, the contacts in Cairo between the Hamas and Islamic Jihad delegations and Egyptian intelligence are becoming more intense", the source said. In recent days, Hamas accused Israel of reneging on its pledges as militants began to fire rockets into Israel.
On Thursday, Israel said its aircraft struck a Hamas military compound after balloons carrying firebombs and explosives were launched across the border.
"Turkey and Anadolu Agency will continue to tell the world about Israeli terrorism and atrocities in Gaza and other parts of Palestine despite such attacks", he wrote. Netanyahu is now engaged in tough negotiations to form a new government following last month's election, while Israel is due to host the Eurovision song contest in Tel Aviv from May 14-18.
Israel and Egypt have maintained a crippling blockade on Gaza since Hamas, which seeks to destroy Israel, seized control of the territory in 2007.
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Mukhaimer Abu Sadda, a professor of political science at Al Azhar University in the Gaza Strip, said the onus was on Israel to implement the agreements brokered following the March fighting.