After producing a superb drive to win for the third year running at the Buddh International Circuit on Sunday, and for the 10th time this season, Vettel ignored standard post-race protocol by turning doughnuts on the pit straight in front of the main grandstand.
Vettel also dropped to his knees and gave a mock-prayer to his car before running to the trackside catch-fencing and throwing his gloves to the crowd.
Although a great spectacle for the worldwide TV audience, the FIA took a dim view of the incident and summoned the 26-year-old to appear before the race stewards.
In explaining its decision, the FIA said in a statement: "The Stewards, having received a report from the Race Director, heard from the driver and team representative, examined video/audio evidence... determine a breach of the regulations has been committed."
The FIA said Vettel had fallen foul of the Article 43.3 of the sporting regulations by failing to return to parc ferme - a secure area where post-race checks are carried out on all the cars - "without unnecessary delay".
The FIA accepted "special circumstances" were in play and that contributed to the decision to let Vettel off with a reprimand, although Red Bull were found to have not "sufficiently" instructed the German to return to parc ferme and were issued with a fine.