The police believe that the event was a terror attack carried out by a Tulkarm resident who entered Israel illegally.
38-year-old Adnan Qaria faces terrorism charges after attempting to stab an IDF soldier in December. The suspect was subdued after ignoring warning shots.
"This is our mourning, and this is our fight," said Prime Minister Francois Bayrou.
Eight other individuals were wounded in the attack and were transferred to hospital for further medical treatment.
The attacker entered the home under the guise that he was going to be doing repairs in her home.
The attack in Magdeburg allowed the establishment in Germany and Europe to use this extreme and rare case to launch an organized chorus warning of “generalizations against Muslims”.
The suspect was questioned two weeks earlier, underwent a polygraph test, and used a knife in the attack, hinting that the decision was impulsive.
"Only monsters are capable of murdering an 80-year-old woman in cold blood," National Unity leader Benny Gantz said.
The terrorist who committed the shooting surrendered to security forces on Thursday morning, Israel's military said.
The terrorist reportedly arrived at the Qalandiya checkpoint armed with a knife and fired fireworks at security forces operating there.