Your Facebook profile is a central location for you to save any information you want your Facebook friends to know about you. Based on your security settings, much of the information in your profile may be accessible in public listings on Facebook. If you stored your anniversary date in your profile with your marital status, you can remove the date to limit your personal information that is publicly accessible.
Load your Facebook profile and then click "Profile" in the top-right corner of the page.
Click the "Edit Profile" button in the upper-right corner. Click "Featured People" to access your marital status information.
Click the month in your anniversary field and select "Month" to clear the setting. Repeat this process for the day and year settings to eliminate your anniversary date from your Facebook profile.