More than 400 Palestinians, most of them civilians, have been killed in the Gaza Strip since July 8 as Israel presses its biggest offensive in the coastal strip in five years.
Talks between Ban, Sisi and other senior officials will "focus on the deteriorating situation in Gaza and the Egyptian initiative for a ceasefire," the Egyptian foreign ministry said.
Egypt, which has been a mediator in previous Israel-Hamas conflicts, had proposed a halt to the fighting but Hamas rejected the initiative saying it had not been consulted. Israel initially accepted Cairo's plan.
Hamas also wants its Turkish and Qatari allies to be involved in any truce negotiations.
After Hamas rejected the Cairo plan, Israel intensified its assault on Gaza and on Thursday launched a ground offensive to stamp out militant rocket attacks.
Ban's visit to Egypt is part of a regional tour to express "solidarity" with Israelis and Palestinians, his office said.