The Secretary General of the Catholic Bishops Conference of Papua New Guinea says police would be contravening the law if they were to follow-through on their public statements.
In recent weeks, high-ranking police officials have declared through local media, that they will shoot to kill criminals.
However Lawrence Stevens says the comments are not very constructive in the long-term.
Mr Stevens says police would be wise to stick to the law.
"The laws are set up to insist that people be arrested and tried by a court, not simply executed by somebody toting a gun and deciding he feels that this person should be removed from society."
Mr Stevens says he does understand the frustration that police often feel but he says the law and order situation can be resolved without a shoot-to-kill policy.