If you legally change your name because of marriage, divorce, court order or any other reason, you must tell Social Security so you can get a corrected card. You cannot apply for a card online. There is no charge for a Social Security card. This service is free.
To get a corrected Social Security card, you will need to:
For complete instructions, please go to New or Replacement Social Security Number Card.
For more information, read our pamphlet, Your Social Security Number and Card.
Original FAQ from Social Security