Inkster is a city in Wayne County in the U.S. state of Michigan. A western suburb of Detroit, Inkster is located about 14 miles southwest of dow…Inkster is a city in Wayne County in the U.S. state of Michigan. A western suburb of Detroit, Inkster is located about 14 miles southwest of downtown Detroit. As of the 2020 census, the city had a population of 26,088.