Former Barclays chairman Marcus Agius will leave his position on the BBC executive board in November when his term expires.
The Harvard educated banker, who has sat on the BBC board since 2006, resigned from Barclays this morning and announced an internal review into the bank's practices after the revelations of the rate-rigging scandal.
A BBC spokeswoman said: "Marcus Agius is currently serving his second three year term as the Senior Non-Executive Director on the BBC Executive Board. He will continue to discharge his duties as Senior Non-Executive Director until his second term expires in November."
When he was appointed to the position six years ago, Director-General Mark Thompson praised Mr Agius' "impressive and very successful track record in managing large institutions".
David Cameron today launched a full parliamentary inquiry into the rate-rigging scandal amid a wave of criticism of British banking.
The scandal claimed its first scalp on Monday as Barclays confirmed its chairman Marcus Agius was to step down.