He said another 36 people remain in hospital after the attack, in which right-wing extremist Brenton Tarrant mowed down worshippers during Friday prayers.
Bush also said that two suspects arrested at a police cordon during the attacks when a firearm was found in their car were not directly involved in Tarrant's assault.
One of the two, a woman, has been released, and a man remains in custody on firearms charges, he said.
A third man was also arrested and will appear in court on Monday on charges that are "tangential" to the attacks, though he was not believed to be involved in the shootings, he said.
"At this moment, only one person has been charged in relation to these attacks," Bush said, referring to Tarrant.
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