Just after the hour mark, Eric Maxim Choupo-Moting scored for the hosts against his former team, and late-arriving substitute Serge Gnabry added the finishing touches to a polished performance.
The Ligue 1 champions and their under-fire head coach Christophe Galtier once again failed miserably as PSG was ousted from the league at this stage in five of their previous seven seasons.
A VAR judgement and an offside flag disallowed an earlier Choupo-Moting header and Sadio Mane’s stoppage-time effort, saving the Parisians from the shame of a four or five-goal aggregate defeat despite having a star-studded lineup.
Six-time European winners Bayern had opened the evening anxiously protecting a one-goal first-leg