Palestinian snipers opened fire from the Gaza Strip towards Nativ Haasara, south of Ashkelon, Friday morning.
Residents of the Hof Ashkelon Regional Council were instructed to stay indoors after the incident.
There were no casualties, but some damage was caused to several buildings in the community, including a grocery store.
On Wednesday evening an Islamic Jihad operative was killed and two others were wounded in the central Gaza Strip, in an explosion they blamed on an Israeli air strike, but the military denied involvement.
In recent days several Kassam rockets have been fired at Israel from Gaza, all exploding in open areas with no casualties.