Only a handful of tourists and Egyptians were in the temple at the time, security officials said, speaking on condition of anonymity because they were not authorized to talk to the media.
AP video of the scene showed what was believed to be the remains of the bomber covered with a black sheet with pools of blood nearby.
The monument “is safe and unaffected and visitors continue to arrive,” temple director Mohammed Abdel-Aziz told the AP. Four groups of foreigners visited after the attack.
There was no claim of responsibility, but the attack bore the hallmarks of Islamic militants who have operating in the Sinai Peninsula.
Last year, the main Sinai-based insurgent group, Ansar Beit al-Maqdis, pledged allegiance to the Islamic State group, which has destroyed archaeological landmarks in Syria and Iraq, viewing them as idolatrous.
The violence in Sinai accelerated and spread to other parts of Egypt following the 2013 military overthrow of Islamist President Mohammed Morsi. The militants say the attacks are in retaliation for a massive crackdown on Islamists in Egypt.
A senior security official said investigators are looking to see whether the Luxor attackers are Egyptians and whether it marks an expansion of the violence to southern Egypt, which was a breeding ground for the militants of the 1990s and 2000.
In the 1990s, Islamic militants targeted tourism to try to undermine the economy. The deadliest attack was in Luxor in November 1997, 58 people were killed at the 3,400-year-old Hatshepsut Temple.
