Urban Ark and its groups promote the use of humane traps.
Introduced predators don’t belong here, but it is important to remove them in a humane way that avoids or minimises pain, suffering or distress – both to target and non-target animals.
Predator Free NZ have an excellent section on Welfare Performance of Animal Traps.
Bionet has a list of traps that have met trap testing guidelines from the National Animal Welfare Advisory Committee (NAWAC).