Rabbits can leave behind droppings and cause damage to home gardens. They can burrow and chew their way into areas such as under sheds to nest. Once rabbits make a nest under your shed, it will procreate and babies will be born. Moreover, when a rabbit dies, it could be under the shed and getting rid of the carcass will be difficult. To keep rabbits from burrowing under your shed, you can "rabbit-proof" it with a few materials.
Remove the rabbit's nest from under your shed while they are away foraging. Try to relocate the nests to a park or wooded area where the rabbits can survive.
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Set humane traps. You can find these at hardware stores and home improvement stores. These catch the critters when they return from foraging and you can release them in a wooded area or park. Set large plastics snake or owls near the shed to create an avoidance barrier and situate the traps away from the shed to capture and release the rabbits.
Hire a wildlife rehabilitation specialist if none of the above removal techniques work to remove the rabbits from under your shed and on your property at-large. Look in your local phone book for wildlife rehabilitation specialists.
Dig a small trench around the outside of your shed with a garden shovel. The trench should be about 12 inches deep and 6 to 8 inches wide. You should see the wood floor framing under your shed as well.
Run galvanized hex netting into the trench, encircling the entire shed. Affix the galvanized hex netting to the shed's wood floor framing using staples and a staple gun. Pull the galvanized hex netting taut as you staple it to remove any slack in the netting. Once completely encircled, cut away excess netting with aluminum snips.
Refill the trench with the garden shovel to cover most of the galvanized hex netting and keep it securely in place. Surround the shed with repellent such as Shake Away or any other rabbit repellent (See Resources). Apply the repellent as directed by the manufacturer for best results.
Regularly check the galvanized hex netting for holes or signs that rabbits have been burrowing through or under the galvanized hex netting. If so, replace the netting as needed and apply more repellent around the outside of the shed.