What are ways to get approved with no rental history? Most apartment buildings don't rent to young people with no rental history or at least those are all the ones that I've seen so far.List Reputable References. Here are the mistakes first-time renters need to avoid, like missing paperwork, insufficient funds, and no credit history. Yes, you can rent an apartment with no rental history. But you're going to have to provide the paperwork that proves you can afford it. The application to rent form is explained here. Learn how to fill out a rent home application and follow tips for making your application stand out. I always have the applicants sign a release form authorizing the present landlord to give me information. It is possible to submit an application without having rented in the past.