The law makes it an offence to use a prohibited trap, without reasonable excuse, for the purpose of killing, managing, entrapping, capturing, entangling, restraining or immobilising an animal.
The arrests follow an investigation launched last month after the cannabis plot was found in dense bush near Blackball.
The area is known for its native inhabitants, which are monitored by DoC.
The men have been jointly charged with possession of cannabis plants for supply, cultivating cannabis and using a prohibited trap.
They were held in custody and will appear in the Greymouth District Court today.
A 51-year-old woman has also been charged with possession of cannabis. She will appear in the Greymouth District Court next month.