Sergeant (Sgt.) Uriel Peretz, 23, from Beitar Illit, was killed in Beit Hanoun in northern Gaza, the IDF announced on Monday.
The IDF also announced that three soldiers were critically wounded and were evacuated to a hospital to receive medical treatment.
Sgt. Peretz and the wounded soldiers were in the IDF's Netzah Yehuda (97) Battalion in the Kfir Brigade.
Peretz's family has been notified of his death. His funeral will take place on Tuesday at 2 p.m., Maariv reported.
Further operations in Beit Hanoun
It was reported last Saturday in the northern Gaza city that the IDF's Nahal Brigade had begun operations against terror targets following intelligence regarding the presence of terrorist infrastructure and operatives in the area.
The IDF confirmed that soldiers were enabling Palestinian civilians to evacuate the area through designated routes.
Danielle Greyman-Kennard and Sam Halpern contributed to this report.