The attack took place in the south of Al-Arish city when a police armored vehicle was targeted, a security official said.
All the injured were shifted to a military hospital for treatment, the official said, adding that the security forces have launched a hunt to nab the attackers.
Police and army personnel are frequently killed in North Sinai. The area has witnessed many violent attacks by militants since the January 2011 revolution that toppled former president Hosni Mubarak.
Over 600 security personnel have been killed so far.
The military has launched security campaigns in the area, arrested suspects and demolished hideouts belonging to terrorists, including those facilitating tunnels leading to the Gaza Strip.