It can be as simple as "we are closing your account as of X date. A bank closure letter may be needed if you want to close a bank account without having to go to your bank's physical location.RE: Close My Accounts. This letter is to inform you I am closing my accounts at your bank. This set provides coverage of every aspect of probate law and estate and trust administration in Texas. It includes sample forms and letters. Some banks insist that their own bank instruction form is used. To close a bank account, you might be required to mail your request in a traditional letter or submit it in person at a bank branch. Create change in your community. Pay your water bill and access payment and billing history.