Runnymede Borough Council said it was concerned that its property had been used for illegal drug activity.
Runnymede council said required funding had not been secured in the desired timescale.
The centre had been planned to open near Runnymede Meadows, Egham, by 2015 to mark the Magna Carta's 800th year.
Runnymede council has worked with the ambulance service to place two defibrillators in Addlestone and three across Thorpe, Chertsey and Egham.
The Weybridge and Runnymede MP said the extra cash would be used to refurbish wards and improve accommodation at Headley Court near Leatherhead.
Last week, UKIP candidate Chris Browne won a seat previously held by the Conservatives in Foxhills ward in a by-election for Runnymede Borough Council.
The Conservative-run council (SCC) said it was not sure the centre near Runnymede Meadows, Egham, would open by 2015 to mark Magna Carta's 800th year.
BBC: Surrey withdraws ?5m offer to Runnymede Magna Carta plan
However, Dr Noah Barou, secretary of the British Section of the World Jewish Congress, said the Runnymede Park disembarkation was a "very painful and heartbreaking picture".
The inscription covers the four surviving copies of the version of Magna Carta forced on King John by the Barons of England at Runnymede in June 1215.
The battle of Runnymede was fought over just this issue.
FORBES: King Obama: Are We In Danger Of An Imperial Presidency?
Runnymede council, which put the plans forward, said it understood.
BBC: Surrey withdraws ?5m offer to Runnymede Magna Carta plan
He rode out from the castle for Windsor on 10 June 1215, meeting baronial leaders in Runnymede and probably affixing his seal to the Articles of Barons on the same day.
Little wonder that the Runnymede editors' conference - under the title "Magna Carta II: a modern Media Charter" - is fielding a stellar line-up of editors, politicians, regulators and lawyers to discuss these critical issues.
Following his death an appeal was launched to raise money for a memorial at Runnymede and for a scholarship scheme to enable British students to study at Harvard and the Massachusetts Institute of Technology (MIT).
应用推荐