Dozens of militants killed in Egypt Sinai attacks
The statement did not give details, but security and medical sources said about 20 members of the security forces had also been injured when more than 100 militants repeatedly attacked security outposts south of the border town of Sheikh Zuweid.
The attackers used car bombs and rocket propelled grenades (RPG), the sources said. The militants also clashed with the security forces using light weapons, the sources added.
Islamic State claimed responsibility for the attacks.
Hours later, air raid sirens went off in a part of southern Israel and the Israeli military said two rockets were fired from Sinai at Israel. There were no immediate reports of damage or injuries.
On Friday, the militant group claimed an attack on security forces in the peninsula that killed at least six soldiers.
Egypt is fighting an insurgency by militants affiliated with Islamic State in the Sinai Peninsula, where hundreds of soldiers and police have been killed since 2013, when the military ousted Islamist president Mohamed Morsi after mass protests.
They have maintained a steady war of attrition with sniper attacks and roadside bombings.
But unlike their parent organisation in Iraq and Syria, they have been unable to seize population centres in the peninsula bordering Israel and Gaza.