Doing a background check without a Social Security number from a rental can often be done. I was told I needed to fill out a rental application (where ssn is required) before viewing it because he gets several requests a day.A social security number is not mandatory for a credit check. You can order a credit report with a name and address. Since the SSN is a required field, have them temporarily enter any 9-digit number so they can continue filling out their rental application and complete it. Signing the application and lease. Applicants must have a valid Social Security Number to apply. A typical background check only requires an individual's name and other information, while a credit check involves an SSN check. The good news is that you do not need an SSN on an apartment rental application to screen a prospective tenant. I have other assets: (Circle "yes" and fill in the value of the property, otherwise circle "No").