Father Tony Palmer - who led the Order of the Ark Community - passed away after 10 hours of treatment.
He leaves behind a wife and two children.
His community has released a statement saying: "It is with deepest sadness that I inform you that +Tony Palmer went to be with Jesus yesterday evening.
"+Tony died from injuries sustained in a motorbike accident yesterday morning and although surgeons tried to save him for 10 hours, they were unable to do so.
"We humbly ask that +Tony's family be given space to grieve at this incredibly difficult time.
"We will be in touch with you in due course.
"Thank you all for your continued support and prayers."
Father Tony was born in the UK but brought up in South Africa.
His church is affiliated to the Anglican Communion through the Communion of Evangelical Episcopal Churches.
He hit the headlines earlier this year when he visited the Charismatic Evangelical Leadership Conference hosted by Kenneth Copeland.
He took with him a video message from Pope Francis on his phone.
Kenneth Copeland then prayed for the Pope and sent his own video message back to him.