In those cases, the Co-op said the decision was due to its own “risk appetite” and had followed due diligence checks.
FOA chair Ismail Patel, who was a leading supporter of blood libel cleric Sheikh Raed Salah, said: "There is no legitimate way for the Co-operative Bank to justify its actions.
“We have had a very good relationship with the bank for 10 years. We do not transfer funds abroad and we have never been overdrawn.
“We can only conclude that this is a politically-motivated attack on us amounting to institutional bullying and racism."
Mr Patel regularly appears in the British media to attack Israel, and in 2009 was a passenger on the Mavi Marmara ship which was involved in the Gaza flotilla incident.
The bank has not commented on its decision.