According to the police, the attacker had no firearm. To The Guardian, Manchester's police chief says the death was "a tragic and unforeseen consequence of the urgent measures my police officers took to put an end to this brutal attack".
Another person has received a gunshot wound that is not life-threatening, according to the police.
On Friday, the father of the suspected murderer released a statement on social media stating that the family is in "deep shock" and that they condemn the act.
"Taking full distance"
"We take full distance from this attack and express our deep shock and sorrow over what has happened. Our hearts and thoughts are with the victims and their families, and we pray for their strength and comfort."
Prime Minister Keir Starmer visited the synagogue on Friday, after promising a few hours earlier to "do everything to keep our Jewish population safe".
The attack occurred on Thursday in connection with a prayer meeting during the Jewish holiday of Yom Kippur. Two people died and three are being treated for serious injuries after the perpetrator drove into people and then attacked with a knife.
Fake bomb belt
The man, who was wearing a fake bomb belt, was shot to death by the police.
The Chief Rabbi of the British Commonwealth, Ephraim Mirvis, calls the attack a result of "an incessant wave of Jew-hatred".