It would also allow anyone to complain directly to the Vatican if needed.
"The crimes of sexual abuse offend Our Lord, cause physical, psychological and spiritual damage to the victims and harm the community of the faithful," the Pope said.
Called "Vos Estis Lux Mundi" meaning You Are the Light of the World, the 19-article decree covers not just children, but also adults as well as the possession of child pornography.
The sweeping new rules come following a spate of abuse scandals involving the church around the world.
In New Zealand, there had been a number of Catholic sex-abuse cases, many linked to Catholic schools.
The church acknowledged and apologised in 2000 for the abuse of children by clergy, and had put in place its own protocols.
A national office was also set up to handle abuse complaints.