Is a building permit required for portable storage shed if you are renter?

It depends on the jurisdiction in which you reside. In some areas, building permits are required for any additions to permanent structures, regardless of whether the additional structure is portable or not. In other areas, portable storage sheds that are below a certain size or height may not require a building permit. To be sure, it is best to contact your local building department and inquire about the specific regulations in your area.