On-loan forward Koo Ja Cheol scored the only goal of the game in the 34th minute to seal the most successful season in Augsburg's history, and complete the worst season in the history of Hamburg.
Augsburg coach Jos Luhukay was cheered by the home fans as rumours persist that he has already tendered his resignation due to differences with the club's president, but joy was the overwhelming emotion in the Bavarian city.
Few would have thought Augsburg could have stayed in the top flight for more than one season, and even fewer would have bet on that happening as they failed to pick up a win in their first eight matches.
But Luhukay's troops upset the odds and turned things around to seal their place among the top 18 clubs in German football with a few weeks to spare.
Today's final game of the season at the Augsburg Arena was about celebrating that remarkable achievement.
Koo has made a major contribution to the his sides`s survival with five goals in 15 games since arriving on loan from Wolfsburg in January.
And he scored the decisive goal, heading Paul Verhaegh's cross in from near the penalty spot in the 34th minute.
Augsburg could have won by an even greater margin as they took advantage of a Hamburg side bereft of motivation.
Hajime Hosogai did have the ball in the back of the net again in the 51st minute, but referee Manuel Grafe disallowed the goal for offside.
One goal was nevertheless enough for Augsburg to win their eighth game of the season and earn them 34 more shots at glory in the Bundesliga next season.