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To change your name on your Social Security card: 1  Complete an Application For A Social Security Card (Form SS-5); and. 2  Show documents proving: 3  Legal name change; and.4  Identity; and. 5  U.S. citizenship (if you have not already established your citizenship with us), or immigration status if you are not a U.S. citizen.o change your name on your Social Security card: 1  Complete an Application For A Social Security Card (Form SS-5); and. 2  Show documents proving: 3  Legal name change; and.
Step 5. Report Your Change in Citizenship to the Social Security Administration The Social Security Administration requires any person who has a change in his or her immigration or citizenship status to report that change to the Social Security Administration (see Your Social Security Number And Card).he change cannot be done by mail. To find the office nearest you, see Office Locator. When you visit the Social Security Administration office, you must bring proof of US citizenship such as your Certificate of Naturalization or your US passport and some other form of picture ID such as a driver s license.