CREDIT Applicant(s) must have good credit history which shows on a credit report from our tenant screening provider, RentGrow. Authorization to check a Minnesota tenant's credit history is typically included in most Minnesota Rental Application Forms.This fact sheet talks about tenant screenings, how to see your report, and how to fix mistakes. What is a tenant screening agency? 650 and above is preferred. I made the mistake of accepting a tenant with very high income and 580 credit score. The laws allow landlords like you to run a background check on any applicant, but only if you have a signed consent form from them. How do I fill this out? A credit report will be run on every tenant. No credit, damaged or poor credit will result in additional deposit.