"The idea of a poll on any agreement signed with the occupying [Israeli authorities] is rejected by the Hamas movement," he said.
"No poll on the basic rights [of the Palestinian people]. Is it possible for us to carry out a poll on al-Quds [Jerusalem] if such an agreement affects our right in al-Quds?"
Abu al-Gheit had unveiled an Egyptian four-item plan to restore calm in the region.
It seeks to establish a ceasefire under which the firing of rockets in Gaza Strip has to stop while Israel also stops targeting Palestinians.
Other provisions include exchanging hundreds of Palestinian detainees in Israeli jails with Gilad Shalit, the Israeli soldier in Hamas' custody.
Egypt also wants the opening of Gaza's border crossings and to put a peace agreement, if reached this year, to a Palestinian public vote.
The developments came as Israeli air raids that began on Saturday night killed eight people, most of them Hamas fighters, and wounded a number of people in Gaza.
Israeli jets struck again early on Sunday in northern Gaza.
An Israeli army spokeswoman confirmed that an aircraft had carried out a raid targeting Palestinian fighters in the area.
Hamas earlier acknowledged that four of its fighters were killed close to the Jabaliya refugee camp in one of the raids, and a fifth fighter died of his wounds later.
Two other fighters were killed in separate air attacks, Jacky Rowland, Al Jazeera's correspondent in Gaza City, reported.