"We have liquidated a terrorist tunnel in the Kerem Shalom area".
Mordechai concluded with a final warning to Hamas leaders.
The Defense Minister expressed his appreciation to the injured IDF soldiers, who had been engaged in defending the Gaza border at the time of the explosion.
Two of the men were severely wounded but their lives were not in danger, the army said.
The incident was the most serious to take place on the southern border since Operation Protective Edge in 2014.
"This was a severe terrorist attack that has the potential to destabilize the region", IDF Spokesman Brig. An IED was connected to a flagpole displaying the Palestinian flag that had been attached to the security fence during a large demonstration on the Gazan border on Friday.
"Hamas will continue to resist and the Israeli attacks won't break our people's determination", he said.
Al-Emadi responded that only Palestinian Authority (PA) officials, and not Qataris, are authorized to discuss salaries, and that payment for such services falls under the auspices of the Ministry of Health. Eight targets were destroyed by air force strikes and two by cross-border tank fire, the IDF said.
Israeli Prime Minister Benjamin Netanyahu, who was also in southern Israel on Tuesday, said that while Israel has "no desire to harm the daily routine" of the residents of the Gaza Strip, "they must know that it is not Israel which is responsible for their plight, it is the extremists leading Gaza who are completely responsible". Two military compounds belonging to the terror group were hit, one of which included a weapons manufacturing site.
An additional rocket Sunday night triggered another Israeli air strike early Monday morning.
The Gaza Strip, which has suffered a crippling Israeli-Egyptian air/land/sea blockade since 2007, has seven border crossings linking it to the outside world.