The officials say that along with the killed soldier, five others were wounded when their armored vehicle struck a roadside bomb in the border town of Rafah late on Sunday. The troops came under fire immediately after the bomb went off.
And in Sinai's coastal city of el-Arish, a militant sniper killed a policeman on duty at a checkpoint. That attack also happened on Sunday night.
The officials spoke on condition of anonymity because they are not authorized to speak to the media.