Are trees damaged by storm covered by insurance?

It just depends on the type of policy your purchased. You may want to contact your insurance agent if you need help determining your coverage.

Most Homeowners insurance policies will only remove the tree debris if the tree also caused damage to your home. Otherwise it's just another felled tree and considered a homeowners maintenance issue.

The cost of hiring someone to haul tree debris away is usually far below the cost of your insurance deductible.

Also, in most U.S. cities all you really have to do is drag the debris to your curb and the city will generally haul it away on the next bulk trash day for free.