Doing a background check without a Social Security number from a rental can often be done. 1st timer looking for Apts on StreetEasy and they're asking for these documents.Rental applications typically require your SSN so these credit searches can be conducted …. You should be able to rent an apartment without a Social Security number provided you have a student visa or Permanent Resident Card (a.k.a. Although not all landlords will need you to have a Social Security number, pretty much all of them will require some sort of legal documentation. Pre-screen your leads, invite them to apply via text or email, and easily screen them without requiring a social security number. For applicants without a social security number, you'll want to send them an application that doesn't request reports automatically. At the beginning of their tenancy, all tenants can be required to give their landlord a security deposit, but it is limited to no more than one month's rent. □ Social Security number. The good news is that you do not need an SSN on an apartment rental application to screen a prospective tenant.