Grinnell is a city in Gove County, Kansas, United States. As of the 2020 census, the population of the city was 260. It is located approximatel…Grinnell is a city in Gove County, Kansas, United States. As of the 2020 census, the population of the city was 260. It is located approximately 0.5 miles north of the intersection of I-70 and Grove County Rd 30.