Israel’s Iron Dome missile defence system shot down a rocket fired from the Gaza Strip towards the southern city of Ashkelon on Thursday evening, media reports said.
Public radio and army radio both reported that there were no injuries or property damage.
They said another rocket fired by Gaza militants during the afternoon fell in open countryside.
The Israeli military could not immediately confirm either incident.
On Tuesday, Gaza’s Hamas rulers said they had redeployed a 600-strong special security force tasked with preventing cross-border rocket fire, after reports it had pulled the unit back two days before.
Hamas spokesman Islam Shahwan said then that the militant Islamic movement would “not allow the occupation (Israel) to break off the ceasefire” that ended an eight-day, full-scale conflict with the Jewish state in November 2012.
The Hamas force was deployed on January 21, but withdrawn at the weekend as a protest after four Israeli air strikes on Hamas training camps in the strip.
While Hamas itself does not routinely fire rockets, Israel says it holds the group, which seized power in Gaza in 2007, responsible for such attacks.