The decision to keep the crossing open was taken "to alleviate the suffering" of residents in the Palestinian enclave, Sisi said on Facebook late yesterday.
It is usually open a few dozen days a year and such an extended period is rare.
Sisi's announcement comes after some 60 Palestinians were killed by Israeli fire on the Gaza border earlier this week, with the victims described by Egypt's foreign ministry as "martyrs".
A total of 114 Gazans have been killed in border protests and clashes since March 30, in the run-up to the controversial opening Monday of the US embassy in Jerusalem.
Egypt has relations with both Israel and Gaza rulers Hamas, giving Cairo an instrumental role in easing tensions between the two sides and alleviating the pressure on the enclave's two million residents.
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