UEFA's disciplinary tribunal also fined Fenerbahce 40,000 euros ($53,520) for the trouble at the Sukru Saracoglu stadium on December 6 in a match which the Bundesliga side won 3-0.
"Fenerbahce were charged with the throwing of missiles and/or fireworks and with insufficient organisation," UEFA said in a statement.
UEFA said there were similar incidents at Fenerbahce's Champions League playoff tie at home to Spartak Moscow in August.
Fenerbahce will serve the ban in the round-of-32 second leg match against Belarus side BATE Borisov on February 21.
- Sports & Recreation