Hamas militants fired a rocket deep into Israel on Wednesday, hitting near the desert city of Beersheva some 40 kilometres (24 miles) from the border of the Gaza Strip, the army said.
The projectile did not cause injuries or damage, Israeli media reported.
In Gaza City, the armed wing of Hamas claimed responsibility for the attack.
A similar rocket fired from the Gaza Strip late on Tuesday slammed into an empty field in Beersheva, again without causing damage or casualties.
Gaza militants have been firing deeper into Israel in recent days and a spokesman for the armed wing of Hamas vowed on Tuesday rockets would be fired even further if Israel doesn't halt its bombardment of the Palestinian territory.
The militants have recently acquired military grade projectiles with a longer range than the so called Qassam rockets they manufacture themselves.
Israel has conducted a massive bombing campaign of Hamas targets in its Gaza Strip stronghold since Saturday in an onslaught which has so far killed at least 374 Palestinians.
The offensive has failed to stop the group from firing projectiles into the Jewish state, where three civilians and one soldier have been killed and several dozen people have been injured in rocket fire since Saturday, according to medics.