A statement issued by the group’s Amaq News Agency said: “The fighters confronted Israeli jets that flew above the state and targeted the Eshkol compound with two Grad rockets”.
There were no reports of injuries or damage and the group did not provide evidence for its claim.
The Israel Defense Forces said that residents of Eshkol Regional Council reported hearing explosions shortly after sirens sounded on Tuesday.
The incident took place a week after a rocket was fired from the Gaza Strip at southern Israel, by a Salafist group.
Egypt’s restless Sinai Peninsula has been used as a launchpad for terror attacks on Israel by Islamic State-affiliated terrorists and arms smuggling into Gaza in recent years.
At least 10 rockets have been fired at Israel in the Sinai since the start of 2017 – a big increase.