The best way to do this is to find a highly qualified co-signer that is willing to put their name (and credit) on the line and assume financial liability in event that the individual with poor credit defaults on the lease. This should give the owner of the apartment piece of mine a promise of financial accountability.
Find a friend to recommend you. You may have a bad credit but that doesnt mean that you are a bad tenant. Or find someone who knows the landlord a friend or officemate maybe. There are some apartment owners or landlord that doesnt check your credit, if you're lucky you may find some.