"Some of these rockets were destroyed in flight by Iron Dome batteries," a spokeswoman said, referring to Israel's anti-missile interception system.
An official at Eilat town hall told Israeli public radio that three rockets had been intercepted yesterday and a fourth had exploded outside the town.
The Sinai is the theatre of fierce fighting between Egyptian security forces and so-called Sinai Province, a branch of the Islamic State jihadist group.
Sinai Province was set up in 2011, ostensibly to attack Israel by firing rockets across the 240-kilometre (149-mile) border or sabotaging a gas pipeline that runs between Egypt and Israel.
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Jihadists have killed hundreds of soldiers and policemen since the military overthrow of Islamist president Mohamed Morsi in 2013 unleashed a bloody crackdown on his supporters.
In 2011, assailants who came from the Sinai killed eight Israelis in a triple ambush north of Eilat. Pursuing Israeli forces killed seven attackers and five Egyptian police.
In 2013, four jihadists were killed by an Egyptian air strike as they were about to fire a rocket at Israel, according to the Egyptian military.
In 2015, rockets fired from Sinai landed in southern Israel, but did not cause any casualties. The Sinai Province group claimed responsibility.