He had taken the salute, laid a wreath and was watching a display from the Egyptian Air Force when two grenades exploded.
Gunmen then leapt from a military truck in front of the presidential reviewing stand and ran towards the spectators, raking officials with automatic gunfire.
Despite typically large numbers of security personnel for the ceremonial occasion, eyewitnesses say the attackers were able to keep shooting for well over a minute.
By the time the president's bodyguards returned fire at least ten people lay seriously injured or dead inside the stand.
Security forces then shot and killed two of the attackers and overpowered the rest, as crowds of military and civilian spectators scrambled for cover.
President Sadat was airlifted by helicopter to a military hospital. He is believed to have died about two hours later.
The precision with which the attack was coordinated has prompted suspicions that the attackers benefited from high-level intelligence and support.
A group calling itself the Independent Organisation for the Liberation of Egypt says it carried out the attack but the claim has not been verified.
Reaction to President's Sadat's death has been mixed.
President Reagan condemned Anwar Sadat's death as an act of infamy. Her said: "America has lost a great friend, the world has lost a great statesman, and mankind has lost a champion of peace."
But many have been celebrating the news. In Libya, Tripoli radio said every tyrant has an end, as thousands took to the streets of the capital in jubilation.
Neither has the Palestinian Liberation Organisation condemned the assassination. Nabil Ramlawi, a PLO official, said: "We were expecting this end of President Sadat because we are sure he was against the interests of his people, the Arab nations and the Palestinian people."