Defense Minister Moshe Ya'alon announced on Wednesday night that the Kerem Shalom crossing into Gaza has been closed, following the barrage of over 60 rockets into Israel.
The Erez crossing has also been partially closed, only being opened for limited humanitarian aid.
The IDF noted that announcements about the re-opening of the crossings would be issued only after further assessments about the security situation had been made. The statement added, "the IDF will not tolerate any harm to the citizens of the State of Israel."
At least 60 rockets slammed into southern Israel on Wednesday, hitting several Jewish communities.
Several were stopped by the Iron Dome; no injuries have been reported. Thousands of Negev residents remain in shelters Wednesday evening, however, until the attacks have subsided.
Prime Minister Binyamin Netanyahu reacted to the attack by pledging a "forceful" response against the terrorists responsible. Islamic Jihad later claimed responsibility for the attack.
"This seems to be in response to our counterterrorism efforts yesterday," Netanyahu declared, according to Channel 2. "We will continue to strike those who want to harm us, we'll act against them very forcefully."