The MoD confirmed that the ban will not affect current students and emphasised that fewer than five IDF personnel are currently enrolled in UK-based training courses.
The decision has been criticised by college alumni Amir Baram, the director-general of Israel's Defence Ministry.
In a letter written by Baram to the MoD, and reported by the Telegraph, he described the ban as "discriminatory" and a "profoundly dishonourable act of disloyalty to an ally at war".
He wrote: "[It is a] disgraceful break with Britain's proud tradition of tolerance - and plain decency".
"[Israel is] defending international shipping from Houthi aggression, preventing nuclear weapons from falling into the hands of an Islamist regime that chants 'Death to England', and fighting to bring home 48 hostages from Hamas captivity.
"The establishment's response is to silence Israeli voices... Frankly, Israel's exclusion is nothing less than an act of self-sabotage of British security."