Brewster is a village in southwestern Stark County, Ohio, United States. The population was 2,113 at the 2020 census. It is part of the Canton…Brewster is a village in southwestern Stark County, Ohio, United States. The population was 2,113 at the 2020 census. It is part of the Canton–Massillon metropolitan area. A post office called Brewster has been in operation since 1910.