The Gunners were thrashed 5-1 by the Bundesliga champions in the second-leg meeting, with the game interrupted by a pitch invader
The result meant Arsene Wenger's side were eliminated 10-2 on aggregate, a record Champions League defeat for an English club and the seventh year in succession Arsenal have fallen in the first knockout stage.
During the defeat, a supporter made his way on to the pitch before being apprehended by stewards, with UEFA confirming Arsenal were charged - and now fined 5,000 euros (£4,300) - for the infringement.
Bayern were also fined 3,000 euros (£2,600) after their fans threw till rolls on to the pitch in the opening minutes of the game in protest to the high ticket prices at Arsenal, again causing a delay to proceedings.
A statement read: "The UEFA Control, Ethics and Disciplinary Body (CEDB) has announced the following decisions:
"Match: UEFA Champions League round of 16 match between Arsenal FC and FC Bayern München (1-5), played on 7 March in London, England
"Decision: The CEDB has decided to fine Arsenal FC ?5,000 and FC Bayern München ?3,000
"The charges against Arsenal FC were related to the field invasions by supporters - Art
16 (2) of the UEFA Disciplinary Regulations (DR)
"The charges against FC Bayern München were related to the throwing of objects - Art
16 (2) DR."
Source : PA
Source: PA