No, you do not need to put a date on your cover letter. In the past, most cover letters were sent by mail, so job seekers included the date to make it clear when they sent it. These days, cover letters are usually submitted online and the date is automatically recorded by either a third-party job portal, email timestamp, or a company’s applicant tracking system.
You can still put the date on your cover letter if you want to or if the employer requires it, but just make sure you format it properly. The correct way to format the date on your cover letter is [Month] [Day], [Year]. For instance, February 29, 2023.