You should always run a credit check and a check of the tenant's prior rental history. Who should pay the fee?I've filled this form before. Credit history: If locally allowed, landlords can request a credit check that will need to be authorized to complete. A landlord credit check helps determine if you're likely to pay rent. Credit Report: Credit report is required for all applicants with a preference for applicants who have a credit score of 650 or higher. In Massachusetts, you're allowed to request a credit report as part of the application process.