The BBC statement said: “There is nothing more important than the public’s trust in the BBC; the BBC board is the custodian of that trust.
Edwards pleaded guilty to making indecent images of children on 31 July.
Huw Edwards has been asked to hand back the salary he earned from the corporation after being arrested on child abuse image charges.
“Today, the board has authorised the executive to seek the return of salary paid to Mr Edwards from the time he was arrested in November last year,” the board statement said.