According to the sources, several police officers were hurt and the post was heavily damaged.
The IDF stated that the strike was carried out in response to the Qassam rockets fired at the southern town of Sderot earlier Tuesday.
IDF sources said that the post struck was not directly linked to the Qassam launching Tuesday morning, but stated that "any Hamas target is attackable, like the targets of other organizations."
The sources added that "while attacking the cells firing the rockets, our message is clear – as long as Hamas fires we'll attacks its assets, and of course its activists involved in terrorism."
The same sources added that the army's freedom of actions was recently expanded in terms of Gaza airstrikes. Among the targets are posts, camps, and even storehouses with explosives.
At the same time Tuesday, Palestinians sources reported that four Hamas police officers were injured as Israeli Navy ships attacked a Palestinian naval police post in the Rafah area. The injured sustained light to moderate wounds.
The post is situated where the former Jewish settlement of Morag was located.
Barak: We'll solve terror problem
Two members of the Izz al-Din al-Qassam Brigades, Hamas' military wing, were killed Tuesday morning not far from the place of the strike.
The Palestinians also reported that an IDF force entered Palestinian territory in the area.
The IDF Spokesperson's Office reported that the forces operated Monday night against terror infrastructures in the southern Strip and that during the operation, the soldiers opened fire at two suspects and identified a hit.
Speaking at a meeting with IDF cadets at the southern army base of Shizafon, Barak essentially hinted that the two terrorists who carried out the suicide attack in a Dimona commercial center Monday came from the West Bank.
"Sderot was hit by Qassam rockets again today. We had an attack on Dimona yesterday. We will find a solution, just like your parents found them, when fighting in the (Jordan Rift) Valley," the defense minister said.
Hanan Greenberg contributed to this report