Broken Bow is a city in McCurtain County, Oklahoma, United States. The population was 4,120 at the 2010 census. It is named after Broken B…Broken Bow is a city in McCurtain County, Oklahoma, United States. The population was 4,120 at the 2010 census. It is named after Broken Bow, Nebraska, the former hometown of the city's founders, the Dierks brothers. Other Dierks-associated legacies in town include Dierks Elementary School, Dierks Street, and Dierks Train #227 which is preserved in Broken Bow.