The NFL's investigation in New Orleans found that Payton initially lied to league investigators about the existence of a bounty program and instructed his defensive assistants to do the same. It also found that Loomis did not do enough to put a stop to the enterprise after he was informed that the league was looking into it.
Payton twice apologized for his role in the bounty program, saying he takes "full responsibility" for a system that operated for three years under his watch.
AP Sports Writer Brett Martel in New Orleans contributed to this report.
Follow Rachel Cohen at https://twitter.com/RachelCohenAP.
Copyright 2012 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.