My neighbors tree fell on my property and destroyed my garage. This is the third time this tree has caused damage to my property. Can I sue for damag

Yes.  The usual approach is to report it to your insurer and let them pursue the neighbor after paying you.  If you do not have homeowner's insurance, you can sue the neighbor yourself.  Assuming the neighbor has homeowner's insurance you are likely to be paid.  If the neighbor does not have insurance, the law is still on your side but perhaps with a more difficult fight.  For future purposes, you have the right to remove any part of a neighbor's tree that hangs over your property.