In order to apply for a social security card you will have to contact your local social security administration office. You will then have to show identification to verify your identity and complete the necessary paperwork. Once you do this, you may be asked a series of questions in order to make sure that you are who you say you are. The card should then be mailed to you within 6 – 8 weeks. In some areas, you may be able to receive it the same day.