A capitol is the building where our elected state officials meet and work. A capital is the city where that building is located. Our state capitol building is located in Lincoln, our state capital.
Before Nebraska became a state in 1867, Omaha was the capital. The legislature of Nebraska Territory first met in January 1855 in a building donated by a local business. A new building (shown here), the second and last territorial capitol, was completed in 1858. This building was later torn down to make room for Omaha's Central High School.
Remember the difference between capital and capitol: