What are ways to get approved with no rental history? Secure your next rental using our expert tips for how to pass a rental credit check successfully and make a strong impression on landlords.A landlord credit check helps determine if you're likely to pay rent. Zillow Rental Manager makes tenant screening easy. Get access to each applicant's eviction history, income documents, credit history and background check. Photo ID for each applicant. The minimum credit score to rent an apartment will depend on two main factors. The first is the competition in the local rental market. Anyone 18 years and older must fill out a rental application. •. We run a credit check on EVERY applicant. •.