During the increased tensions, Israel repeatedly responded to days of rocket fire by striking 40 Hamas targets in the Gaza Strip.
Israel intercepted rockets fired from the Gaza Strip on Friday, the military said, in what appeared to be an attack that targeted a memorial ceremony for a slain Israeli soldier.
A third rocket hit a building in the regional council of Shaar Hanegev in Israel's southern district. No one was injured in the incident.
The Israeli army said there were "very small clashes" in a number of sites.
The incident was the latest round of escalation between Israel and the Palestinians, which was triggered by U.S. President Donald Trump's recognition of Jerusalem as the capital of Israel in a statement on December 6.More news: Apple CEO Cook gets 74% bonus boost after the company's earnings rebound
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Hamas said there were no injuries in the strikes.
Trump said his decision merely recognizes that Jerusalem already serves as Israel's capital and is not meant to prejudge the final borders of the city.
Palestinian news agency Wafa reported quoting sources in Gaza that six Israeli missiles were fired.
Air attack alarm systems in the south of the Jewish state were triggered after three launches were identified from the Gaza Strip, according to the Israeli military. Twelve Palestinians have died in the violence so far.