Norway is a city in Dickinson County in the U.S. state of Michigan. The population was 2,845 at the 2010 census. It is part of the Iron Mountain, MI?WI Micropolitan Statistical Area.The city is in the southwest of Norway Township, but is politically independent. It is on U.S. Highway2, which connects with M-95 about six miles west in Iron Mountain and with US41 about 21 miles to the east. US141 north merges with US2 about four miles west of the city. US8 has its eastern terminus in the city and crosses the Menominee River to continue west in Wisconsin.