The U.S. government assigns Social Security numbers to people who are authorized to work in the United States and who have employment. A Social Security number is only required if you work in the U.S. and can be obtained with proof of legal employment. F-1 visa status allows students to work while in the U.S., under certain restrictions.
If you need a social security number, ISSS must register your SEVIS record before you visit the Social Security office. New students must complete Arrival Check-in before your SEVIS record is registered. More details here.
Remember that you are only eligible for a social security number if you have a current job.
How to Apply for a Social Security Number
The process to apply for a Social Security Number are different depending on if you have On-Campus Employment or approved Off-Campus Employment. See the steps for each below.