The owner has told officers that the weapons in question are a P14 rifle and a Mk1 rifle from World War One.
Meanwhile a third firearm has also been reported missing.
This dates back from World War Two and is a Mk5 rifle.
All the weapons have been deactivated but officers have still issued a warning about the storage of firearms.
PC Natalie Reid stressed: “We would advise anyone who has these in their home to make sure they are kept secure at all times and have adequate security in place in their home.
“If they have any concerns re home security, they can contact myself for a free crime prevention survey to be carried out.”
Anyone who wishes to access this or has any information about this incident is asked to contact Cumbernauld Police on 101.