IDF troops on Monday prepared to launch an attack on a Gaza strip border crossing with Egypt in response to an Egyptian attack that killed two soldiers.
The IDF said it was prepared to open fire on a group of Hamas operatives who infiltrated the Egyptian border and attempted to enter Gaza on Monday, a day after a rocket attack on Israel.
Hamas has denied carrying out the attack, which left one soldier dead and injured three others.
The rocket fired at Israel on Monday targeted a military vehicle and a Hamas command post, but did not land.
Israel had earlier said a rocket was fired at the military vehicle.
On Monday, Hamas fired a rocket into southern Israel, killing one person and wounding two others.
Israel says its military operation in Gaza will continue, and Hamas has repeatedly said it will not stop fighting until Israel ends its siege of the territory.
The latest rocket was intercepted by the Iron Dome interceptor system, according to an IDF statement.
The Iron Dome intercepted the rocket over the Ashkelon region in southern Israel at a distance of 10 kilometers (6 miles) from the site of the launch.
The Gaza Strip, which is under Israeli siege, was hit by several rocket attacks on Monday.
The Israeli army said that at least two rockets were fired at Tel Aviv and its main airport on Monday and that at the height of the day rockets were launched at the southern Israeli town of Sderot.
Israel has also stepped up airstrikes on the Strip, launching at least nine airstrikes on Tuesday, including four overnight attacks on residential areas, according, the military said.
A fourth air strike targeted Hamas rocket launchers near the Gaza border, the Israeli military said, while Israeli officials have also said they plan to carry out more strikes in the coming days.