"The IAF (Israeli Air Force) successfully intercepted two rockets launched from the Gaza Strip towards Israel," the Israeli military said on Twitter.
"A short while ago, an additional rocket was launched from the Gaza Strip at Israeli territory and fell in an open area in the Eshkol Regional Council, southern Israel," it added.
Israeli public radio reported the rocket exploded in a field and that there were no casualties.
Militants in the Palestinian enclave have fired both rockets and mortar rounds into Israel over the past week amid anger over US President Donald Trump's recognition of Jerusalem as the capital of Israel.
Three Palestinians were lightly wounded in the strikes, the health ministry in Gaza said. No casualties were reported on the Israeli side.
Trump's announcement last Wednesday has sparked protests across the Palestinian territories, with four people killed and hundreds wounded in clashes or retaliatory Israeli air strikes so far.