what county is gibbon, nebraska in?
Sponsored Topics. Gibbon is a city in Buffalo County, Nebraska, United States. It is part of the Kearney, Nebraska Micropolitan Statistical Area. The population was 1,759 at the 2000 census. Gibbon is located at 40Â°44â²52â³N 98Â°50â²40â³W / 40.74778Â°N 98.84444Â°W / 40.74778; -98.84444 (40.747656, -98.844381).