On private property, a driveway, a yard, or a fenced job site, Hammond asks for no permit for the container itself. There is no city dumpster permit to apply for.
A street, alley, sidewalk, or parkway is a different story, and Hammond is stricter than most. City ordinances say nobody may place building material or any other material on a public street, sidewalk, or alley without a special permit, and a separate section makes it unlawful to encumber or obstruct any street, alley, sidewalk, public ground, or parkway with any material, substance, vehicle, or thing at all. In an alley-served neighborhood that distinction matters, so settle it before delivery.
The city publishes no fee and no application form for that special permit. Call the City of Hammond at 219-853-6300 and ask for Public Works, or reach the Sanitation Department directly at 219-853-6433, where the office is open weekdays from 8 a.m. to 4 p.m. If you are not sure whether your drop spot is on your property or in the alley right of way, your account manager can help you find the right contact.
One more point worth raising early. The city's own clean-up containers, the ones a councilperson places for a neighborhood clean-up, are limited by ordinance to residents of that district, and use by a contractor or company is prohibited. They are not an option for a job.