On private property, such as your own driveway or inside a fenced job site, no City permit is needed in Bismarck. Private property is also the City's clear preference, and the code says so.
The City treats the right of way as everything between the front property lines on both sides of the street, which takes in the street itself, the sidewalk, and the boulevard strip. A permit is required for work there, and the City's rights of way permits are issued at the Engineering office for approaches and culverts, concrete, excavation, grading, and land disturbance. None of them is a container permit.
There is one written exception for containers, and it is narrow. Bismarck allows a commercial bulk container to sit in an alley right of way only when storing it entirely on private property is impractical or impossible. Such a container may not stick more than five feet into the alley, and the alley has to keep an unobstructed opening of at least fifteen feet.
Engineering sits at 221 N. 5th Street, 2nd floor, open Monday through Friday from 8 a.m. to 5 p.m., and the office number is 701-355-1505. If your lot is tight or an alley is your only option, your account manager can help you reach the right person before delivery is scheduled.
Before you book, confirm with the city that a container can be placed for your job at your address. Rules differ from city to city and they change. Your Prime Dumpster account manager will help you check, and will tell you plainly what your options are here.