The incident took place in Bnei Netzarim which lies 1.5 kilometres (just under a mile) from the Egyptian border, and some five kilometres (three miles) from the southernmost tip of the Gaza Strip.
"A rocket was fired from Sinai towards Bnei Netzarim... without causing any injuries," he said initially, later adding there had been four explosions in total in the community.
"What we know for sure is that there were four explosions in Bnei Netzarim and there is a sense within the army that they were fired from Sinai and not from Gaza," he said.
The Israeli military could not immediately confirm the information.