Three more officers were injured in an attack in Al-Arish, Ahram Online reported.
A source told Ahram the assault may have been payback for the deaths of three men killed by police last week.
Sinai, which borders Israel and Gaza, has become increasingly violent recently. The area also has a large population of Bedouin tribesmen who feel they are overlooked by the government.
2014: The Year in Music [PHOTOS]