Following ugly scenes at a pre-season friendly with Darlington, the club said non-season ticket holders and non-members would not be able to buy tickets for away games.
The policy has been implemented with immediate effect.
Llambias and Mike Ashley are unpopular figures with Toon supporters these days, and a section gave Llambias a tough time in a pub in the Darlington stadium complex.
The Magpies also said the club will work with police to identify those responsible for the trouble and vowed to take further action against any fan involved.
The Quakers are also helping police with the investigation and will follow Newcastle’s lead in taking action against any guilty fans.
However, Newcastle’s new ticketing policy was criticised by fans for pricing them out of football and punishing innocent supporters.
Newcastle manager Alan Pardew and managing director Derek Llambias promised the club would take “the strongest possible action”.
A club spokesman said: “In order to combat any possible trouble at future away fixtures, a new policy will be implemented by the club which will see ticket sales restricted to season ticket holders and members only.
As such, the buyer will be held accountable for any trouble associated with the purchase or use of a ticket.
“Newcastle United sincerely hopes that this incident is a one-off never to be repeated again and that as the 2011-12 season unfolds, the good name, fervour and loyalty of its fans will once again be to the fore, up and down the country.”
Previously, tickets went on sale to season ticket holders and members, before any unsold tickets went to other supporters.
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