Israeli jets launched air raids on "terror targets" in the Gaza Strip early Wednesday after two rockets were fired from the Palestinian enclave into Israeli territory.
The Magen David Adom medical service said a woman and her three children, whose home in Beersheba was struck, were being treated for shock after they fled to their shelter upon being awaken by warning sirens shortly before 4 a.m. No injuries were reported.
There was no immediate claim of responsibility from any of the other smaller groups that operate in Gaza, and by mid-afternoon the area was quiet.
The rocket was the first to hit an Israeli home since the 2014 war between Israel and Gaza's Hamas rulers.
"We are not prepared to accept the level of violence we see week after week", Avigdor Lieberman told troops and commanders at an army base near southern Israel's border with Gaza.
The head of Egyptian military intelligence, Abbas Kamel, is scheduled to visit Gaza this week to renew high-level cease-fire talks.
Hamas and Islamic Jihad distanced themselves from the attack, blaming the rocket fire on rogue jihadists groups in the Strip attempting to undermine Egyptian efforts to bring an end to the border violence in exchange for a boost in humanitarian aid to Gaza. The blockade has restricted Hamas' ability to govern and made life extremely hard for Gaza's 2 million residents.
Last week, some 14,000 Palestinians rushed the border fence, burning tires and throwing rocks, firebombs and grenades at soldiers stationed on the other side of the barrier.
Since the Great March of Return protests began on 30 March this year, at least 203 Palestinians have been killed and thousands injured by Israeli live fire.
COGAT, the defence ministry body responsible for Palestinian civil affairs, said Mr Lieberman had ordered the closure of the Kerem Shalom goods crossing and the Erez crossing for people, as well as the reduction of the permitted fishing zone along the Gaza coast to three nautical miles. Prime Minister Benjamin Netanyahu threatened "very painful blows", saying Israel was very close to waging a "different kind of activity". "If it has sense, Hamas will stop firing and stop these violent disturbances - now", he said.
Lieberman's comments followed calls by far-right Education Minister Naftali Bennett for a harsh response against any Palestinians who cross the Israeli fence surrounding Gaza during regular protests on the boundary.
Likewise, Hamas launched boats in an effort to break through Israel's maritime blockade, but they were stopped by the IDF.
More than 2 million Palestinians are packed into the coastal enclave.