Sinkholes that are naturally occurring are usually not covered under your regular homeowners insurance policy and require additional sinkhole or earthquake insurance to cover the cost of the sinkhole in your yard or under your home.
This is because according to most homeowners insurance companies that sinkholes are often viewed in the same category as earthquakes, or "ground movement."
So you'll need to get earthquake insurance or other ground movement insurance to cover the cost of any naturally occurring sinkholes in your property or under your home.
Some homeowners insurance companies cover the sinkholes under different policies so it could be called a ground movement policy or earthquake policy or the insurance may have a sinkhole coverage policy.
It all depends on the insurance company you're getting homeowners insurance through.