 Norman / ˈnɔːrmən / is a city in the U.S. state of Oklahoma 20 miles ( 30 km ) south of downtown Oklahoma City in its metropolitan area . The population was 110 @,@ 925 at the 2010 census . Norman 's estimated population of 118 @,@ 040 in 2014 makes it the third @-@ largest city in Oklahoma , and the city serves as the county seat of Cleveland County . The University of Oklahoma Norman Campus is located in the city limits . Norman is the main office of the Norman Transcript newspaper.
Norman is home to the National Weather Center , a research and outreach arm of the National Oceanic and Atmospheric