Occasionally you will find a home that is represented by a Rental Management Company that is offering a free or discounted months rents upon qualifying. These are generally few and far between, and tend to happen only when a home is having some type of trouble in acquiring a tenant. The reasons for this can be numerous. Any Real Estate Agent that has access to the MLS should be able to find out if there are any homes offering such a deal in the area in which you are looking. Another way to find these properties is to look on Craig's List which tends to get a lot of use when traditional ways of advertising are not getting a home rented in a timely manner. The reduction in rents offered on any particular property would be up to the owner/investor of the home and would be on a case by case basis, and usually used as a back up plan, or when a home needs to rent extremely fast after it has had a tenant move out. This can be the case in an eviction where the owner/investor wants another tenant in quickly.