England's General Teaching Council disciplinary committee, heard that he was convicted in April this year at Chelmsford Crown Court of possessing a firearm with intent to cause fear of violence and possessing a firearm without a certificate.
The incident happened on July, 2004, when he called police to his home to report youths causing a nuisance.
Mr Falk, who is battling with an alcohol problem, pointed a loaded firearm at a police officer when his call was answered and he was subsequently arrested.
Mr Falk admitted the allegations and said he is now undergoing rehabilitation and is a member of Alcoholics Anonymous.
He said that he had received positive feedback from his head of department before he left his school and described an incident when a bus got stuck under a low bridge and he helped pupils to safety.
The committee held that the conviction constituted a relevant offence and told Mr Falk he must be able to prove he has conquered his problem before teaching again. Anthony Handley, committee chairman, said: "We are concerned about your dependence on alcohol and we believe that the incident was very serious. But we have been very impressed with your conduct since the offence."