The Bees will travel to London Road in the week beginning Monday 7th August, just a few days after the EFL season gets under way.
The two sides met in the Checkatrade Trophy last season, with a Peterborough side that featured current Bee Ricardo Santos triumphing 2-1 at The Hive.
Barnet’s only previous League Cup clash with the Posh came 25 years ago over two legs and resulted in a 6-2 aggregate defeat.
