Authorities captured that person shortly after the incident and they were arrested.
The incident took place near the row of rental car businesses about two miles from the main terminal.
The identity of the person who was arrested hasn’t been released.
Two planes that were set to take off on the runway that was closed were sent to other runways for their takeoffs and were delayed by about 15 minutes.
Denver police and the FBI are investigating the incident.
At 9:15 a.m. Friday, Denver police were called to investigate a report that someone climbed the airport's south perimeter fence, onto the southwest airfield, near the airport’s rental car row. That area is more than two miles from the terminal.
Denver police confirmed to Denver7 that someone was taken into custody.
As a precaution, airport officials told Denver7 reporter Marc Steward that DIA worked with the FAA to close runway 7/25 during the police response.
DIA is the largest airport in the United States by land size at 34,000 acres, 53 square miles.
Last year, the Associated Press reported that at least eight people had breached the perimeter fence at Denver International Airport from 2004-2015. The AP found that most of the breaches at DIA involved people climbing over the fences to take a short cut, either to get home, to work or to the terminal.