The decision came after Goodell spent about six hours speaking with the Saints staff members named in the bounty scandal.
Coach Payton's season-long suspension will begin on Monday, April 16. Coach Vitt will be suspended for the first six games of the regular season. Loomis will observe his suspension for the first eight games of the regular season.
"At the conclusion of their suspensions, the commissioner will review the status of each of the three individuals to determine their eligibility for reinstatement," according to an item on NFL.com.
Former Saints defensive coordinator Gregg Williams did not appeal his indefinite suspension.
Goodell also announced that depending on how the inviduals, and the team as a whole, deal with these suspensions, the financial penalties and the forfeiture of the Saints' 2013 second-round draft pick may be up for debate.
No punishments for the up to 27 Saints players who may have been involved in the program have been announced.