Whether your homeowner’s insurance pays for tree removal usually comes down to one question: did the tree damage something, or is it just in the way? Insurance is built around sudden, accidental damage, not routine property maintenance, and that distinction explains most of what is and is not covered.
The clearest case for coverage is a tree that falls and damages an insured structure. If a tree comes down in a storm and hits your house, garage, fence, or another covered structure, your policy will typically pay to repair the damage and to remove the tree from the structure as part of that claim. Many policies cap the removal portion at a set dollar amount, so a very large or complicated removal might exceed what insurance contributes, but the principle holds: damage to a covered structure usually opens the door to coverage for clearing the tree off of it.
What insurance generally does not cover is removal of a tree that simply fell without hitting anything, or a healthy tree you want gone for your own reasons. A tree that drops harmlessly in your yard, a dead tree you would like removed before it becomes a problem, or routine pruning and maintenance are all considered the homeowner’s responsibility. The tree being inconvenient, unsightly, or even worrying is not, by itself, a covered event.
A couple of edge cases are worth knowing. Some policies offer limited coverage for removing a fallen tree from your yard even without structural damage if the tree is blocking a driveway or a handicap access ramp. Coverage can also hinge on the cause: damage from a covered peril like wind or a storm is treated differently than a tree that fell due to neglect or disease, which an insurer may decline.
Because the details live in your specific policy and the facts of your situation, the reliable move is to call your insurance company before assuming either way. Ask what your policy covers for tree damage and removal, and what documentation, such as photographs, they will need to process a claim.