Hearts will reduce Celtic's allocation of tickets at Tynecastle following an internal investigation into an assault on the Glasgow club's manager.
Neil Lennon was attacked by a fan who ran on to the pitch during a match won 3-0 by his side on 11 May.
"The club will reduce the Parkhead outfit's ticket allocation by around 400 for the next match at Tynecastle," said the Edinburgh club's website.
Hearts say this will separate the two sets of rival fans and reduce trouble.
"This will create two 'clear' zones at the lower corners of the Roseburn Stand, which will help reduce potential flashpoints," said Hearts.
"The lower Main Stand and Wheatfield Stand Lower G will now only be accessible to season ticket holders, with no match-day ticket sales available in these areas.
"With the club keen to ensure there is no repeat of the scenes of last month, there will also be increased stewarding around both dugouts.
"These plans will be put in place in advance of the next match versus Celtic at Tynecastle and have the support of both the police and the stewards.
"We will not tolerate anti-social behaviour of any sort by home or away fans."
Hearts, who host Celtic on 1 October, have written to supporters outlining the actions being taken to eradicate unacceptable behaviour at their stadium.
The Edinburgh club are awaiting the results of a disciplinary investigation by the Scottish Football Assocation.