In front of German football bosses, 22 former Bayern greats and Bavarian political royalty, the champions left it late, scoring three goals in the second half through Thomas Muller, Xherdan Shaqiri and Luiz Gustavo.
It was a 28th win in 33 league games - with one league match left - for sensational Bayern, who weeks ago secured their 23rd German league title and 22nd since the introduction of the Bundesliga half a century ago.
"This season is one for the record books," said a beaming Heynckes, who will make way for former Barcelona coach Pep Guardiola next season. "I hope the 88 points we have amassed will stand as a record for ever."
"Our season is far from over. We still want to achieve something great and when we have achieved something great then we will celebrate in a big way."
Augsburg's Alexander Manninger made two brilliant first- half saves to deny Muller and Mario Mandzukic from point-blank range and the battling visitors even hit the bar early in the second half.
"This is an amazing record in this season and it is really unbelievable. It is my sixth league title and as good as the first one," midfielder Bastian Schweinsteiger, still missing an international trophy, told reporters.
"We all know there are still some games left for us but tonight we will celebrate."
League boss and Dortmund President Reinhard Rauball handed the silver platter to Philipp Lahm, who lifted it into the Munich sky. The team then left in a car convoy to celebrate at Munich's central square.
