Fair Grove is a city in Greene County, Missouri, United States. The population was 1,582 at the 2020 census. It is part of the Springfield, …Fair Grove is a city in Greene County, Missouri, United States. The population was 1,582 at the 2020 census. It is part of the Springfield, Missouri Metropolitan Statistical Area. A post office called Fair Grove has been in operation since 1856. The community was named for a grove of trees near the original town site that reminded the early settlers of Fairgrove, North Carolina, from where they migrated.