Crane is a town in Stone County, Missouri, United States. The population was 1,495 at the 2020 census. It is part of the Branson, Missouri Micr…Crane is a town in Stone County, Missouri, United States. The population was 1,495 at the 2020 census. It is part of the Branson, Missouri Micropolitan Statistical Area. Crane was platted in 1895, taking its name from nearby Crane Creek. A post office called Crane has been in operation since 1887.