One of the rockets is believed to have landed near one of the council's communities.
On Friday morning, another Qassam rocket was launched by Palestinian gunmen towards the western Negev. The rocket landed in an open area in the Eshkol Regional Council. There were no reports of injury or damage in the incident as well.
Thursday evening saw a rocket land near a kibbutz in the Sha'ar Hanegev Regional Council, also causing no injuries or damage.
Meanwhile, Israel has been responding to such attacks by isolated strikes on Hamas targets, and mainly arms smuggling tunnels. On Wednesday night Israel Air Force aircraft struck two smuggling tunnels in the southern Gaza Strip.
The Israel Defense Forces Spokesperson's Unit said this was in response to rockets and mortar shells fired in Israel in recent days.
The military also said, "The IDF holds Hamas fully responsible for preserving the calm in Israel's southern communities and the IDF will continue to respond severely to any attempt to disrupt it."
Since the end of Operation Cast Lead, almost 100 rockets and mortar shells have been fired into the western Negev.
"A sovereign country cannot allow anyone to fire at it. Meanwhile, we continue to run our daily lives in a state of insanity, and the Israeli government is ignoring what goes on over here. Apparently the Iranian centrifuges are more important."