1. Provide your contact details as well as those of the recipients. A cover letter should start with your contact details as well as those of the recipient and the date. In your contact details, including your first and last name, address, telephone number and email address. Make sure the date is separate from your address and the due address. Here are some steps you can follow when writing your banker cover letter: 1. Provide your contact information. To begin your cover letter, you create a simple, informative header that includes your contact information. In this element of your cover letter, try to include your full name, address, telephone number, and email address. Here are five essential points to include in your cover letter: 1. Introduction and personalization: Start your letter by addressing the hiring manager or HR manager by name. Introduce yourself and express interest in the credit union teller position. Briefly mention how you heard about the job offer. 2.Dear recipient name, I am writing to apply for the position of bank teller on behalf of the company. I have worked as a full-time bank teller for two years and believe my experience would be an asset to your business. In my current role, I manage all aspects of customer service and cashier work. Illustrate your capabilities with an example using a skill-action-result format, such as effectively managing a high volume of transactions daily leading to increased customer satisfaction and reduced wait times. . Rate my article: Bank Teller Cover Letter Examples. Average: 4.80, 5.00.