The 31-times champions were also fined 6,000 levs ($3,800) by the Bulgarian Football Union's (BFU) disciplinary commission on Tuesday.
CSKA fans threw fireworks and other objects on to the pitch, forcing referee Stanislav Todorov to stop the game for a few minutes in the second half.
Matches between the two teams have a history of crowd violence. In 2009, CSKA were given a two-match home ban after their supporters invaded the pitch and clashed with police during their match at Litex.
The punishment will affect CSKA's home game against Lokomotiv Plovdiv on Aug. 25. The new venue is yet to be decided.
Litex, who won the tense match 1-0 thanks to a goal in added time, were also fined 2,000 levs ($1,300) by the BFU for poor organisation.