probably depends on where you are now and how long ago it was. Do you have income verification? Do you have utility bill history? What sort of proof can you give a landlord that they can count on you to pay your rent? These are all questions you will have to document. Was it an eviction from a foreclosure or from a rental? These will all have an effect on what you can do. A landlord is taking a chance that they might have to start legal proceedings to have you evicted if you don't pay your rent, and this is time consuming and costly to the owner. Most owners are relying on the rent payment to pay their mortgage and taxes, and they can't afford to be "stiffed" by a tenant.
You might try to have a family member co sign on a lease to protect the owner as an option as well.
Good luck to you,
Myke Triebold, GRI, LMC, ABR, SFR