Bishop Emmanuel looked up in disbelief as the attacker struck him repeatedly on the face and head.
The NSW Police Force confirmed the arrest of the attacker on social media.
A police operation is underway in Wakeley, following reports of a stabbing, the statementsaid.
Officers arrested a male and he is assisting police with inquiries, the statement.
The injured people suffered non-life threatening injuries and are being treated by NSW Ambulance paramedics, the statement continued.
Further details about the attacker and the motive behind the stabbing were not immediately clear.
More information will be provided once it becomes available, NSW Police said in their statement.
Police urge [the] public to avoid the area at this time.
They are in stable condition.
We ask for your prayers at this time, the church said in itsstatement.
It is the Bishops and Fathers wishes that you also pray for the perpetrator.
Thank you, the statement added.
Fairfield Mayor Frank Carbone also urged the community to stay calm to avoid further injuries.
The blatant church stabbing comes at the heels of another horrific incident that took place in Sydney on Saturday.
The attacker was shot dead at the scene by an officer, authorities said.
The baby got stabbed.
She confronted the offender who had moved, by this stage, to level five, Anthony added.