Mr Mncube was mauled to death by a white tiger while cleaning its enclosure last week. The tiger was later shot dead.
The wildlife park was shut following Mr Mncube's death but will reopen today for the service.
Mr Mncube's funeral has not yet been finalised as the Zimbabwe Association of New Zealand tries to raise enough money to send his body back to his parents in Hwange.
Association spokesman Japhat Ncube (correct: Ncube) yesterday estimated the cost of doing that would be about $10,000.
He said the association had opened a National Bank account called the Dalu Fund for donations.
"We know the parents want closure," he said.
"It's cultural that they need the body back home. They are hoping their son is repatriated and they can pay their last respects."
His parents were devastated by his death, Mr Ncube said.
"Nobody would have expected this to happen," he said.
"He came from Africa, where there are plenty of animals, and you come so far away from home and you are killed by animal. They just can't believe it."
Zion has set up the Dalu Mncube Family Trust, with donations to be held in trust for Mr Mncube's children.
Meanwhile TradeMe has halted an auction by a woman selling a whisker she said came from the killer tiger. She said she was given it on a visit to the zoo in 2007.
TradeMe said that the auction was in bad taste and the woman's claims could not be authenticated.
