Include your name, address, phone number and email address. The opening paragraph should explain why you are writing, giving your specific employment interest.Mention how you found out about the position. Learn how to write a bank teller cover letter. Get expert tips and downloadable cover letter examples for all levels of experience. Choose a few phrases in the opening paragraph that let your reader know what to expect in the body of the letter. A cover letter provides more detailed information on why you are qualified for the job or career area you are targeting. The document provides information about writing an effective application letter for a job at a bank. Download a free cover letter template for bank job applications in Word, Google Docs, Pages, and PDF formats. Choose a sample resume and cover letter according to your program or career interest.