The move came on Friday, a day after Palestinian resistance movement, Hamas, urged Cairo to reopen the vital border crossing.
“Gaza could never be anything but a source of stability for Egypt,” Haniyeh added.
Egypt closed the Rafah crossing after an attack on a security checkpoint in Sinai, which left at least 16 Egyptian border guards dead and seven others injured on Sunday night.
On Monday, an official statement by the Islamic resistance movement condemned the attack and dismissed the idea that militants from inside Gaza may have been involved.
Some 800 people normally leave for Egypt and beyond through the Rafah crossing, the only passageway leading to the rest of the world for most Gazans.
The siege has had a disastrous impact on the humanitarian and economic situation in the impoverished enclave, having turned the territory into the world’s largest open-air prison.
Impoverished Palestinians are forced to use underground tunnels to bring in essential supplies including food, fuel and medicine.
The Rafah crossing is the Palestinian territory's only crossing outside Israeli control.