A military spokesman said in a statement on Wednesday that two other militants were injured and some others fled the scene.
"One of the militants, wearing an explosive vest, attempted to raid one of the security checkpoints and due to the vigilance of the security forces the terrorist was killed while the rest of the militants were dealt with," the spokesman said.
The news comes two days after at least 18 policemen, including a general, were killed some 30 kilometers west of el-Arish in northern Sinai after militants ambushed their convoy.
The Sinai Peninsula has been under a state of emergency since October 2014, after a deadly terrorist attack left 33 Egyptian soldiers dead.
Over the past years, militants have been carrying out anti-government activities and fatal attacks, taking advantage of the turmoil caused in Egypt after the democratically-elected president, Mohamed Morsi, was ousted in a military coup in July 2013.
The Velayat Sinai militant group, which is an affiliate of the Daesh Takfiri terrorist group, has claimed responsibility for most of the assaults. The group later expanded the assaults to target members of Egypt’s Coptic Christian community as well as foreigners visiting the country. That has prompted the government to impose the state of emergency and widen a controversial crackdown, which critics say has mostly targeted dissidents.