How to Kill Skunks
Here we see an skunk caught via a 120 Connibear or body grip type trap. These photos came from a trapper in another state. I've never seen (or smelled) a skunk here in Florida, although apparently they do exist. If this type of trap is legal in your state, you can set it over the hole they are using, and it will catch the animal coming in or going out. This type of trap will very quickly kill the animal. It's not the type of trap a homeowner could likely buy, and definitely not the type a novice could set, so call a pro if you want this type of skunk exterminating. My company cannot offer this type of service, and I only do live cage trapping.
Here are some additional articles about skunk trapping and removal:
How to get rid of skunks
How to trap skunks yourself
How to remove skunk smell
Problem skunk prevention
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How to Get Rid of Skunks in the Garage - If a skunk is trapped in your garage, the best thing you can do is to leave the garage door open until it finds its way out. Approaching the skunk is ill-advised. Once threatened, a skunk can spray a foul liquid onto you and your belongings, sometimes staining clothes and burning eyes and skin. If the skunk is reluctant to leave, or is residing in the garage, trapping the animal in a cage trap may be necessary. Cage traps are easy to use, especially if your target is in a confined area. Bait the trap with pet food or leftovers and place it in an area where the skunk will feel safe in approaching. The trap should be on a flat surface; any wobble or unsteadiness might scare the skunk away. Despite common beliefs, a skunk will not spray any time it gets frightened or threatened, and the surprise of a trap door should not cause a release of the spray. Once you’ve caught the animal, relocate it onto state land in a protected area. Few animals will attack skunks, though they are a prey animal for raptors and owls who have no real concern for odors.