Unknown assailants shot dead a low-ranking police officer in North Sinai late on Sunday, Egypt’s interior ministry said in a statement.
The officer was killed in front of his house in Al-Arish, the provincial capital.
The assailants are still at large.
Earlier on the same day in the North Sinai governorate, an improvised explosive device went off, killing a police captain and injuring another person.
Egypt's security forces are fighting a decade-long Islamist insurgency in parts of North Sinai, which has spiked since 2013.
An ongoing military campaign aims at purging the governorate of militants through "pre-emptive strikes against terrorist elements," according to an army statement in May.
A state of emergency has been imposed in areas of North Sinai since August 2013 after violence erupted following the ouster of Islamist president Mohamed Morsi.