The successful candidates are Janette Brown, Patrick Dixon, David Owens and Alistair Wivell.
Welcoming the appointments, Mike O'Brien said:
'Cleaning up the UK's nuclear legacy cost effectively is a top priority for the Government. The NDA is central to that task and these new appointments will complement the skills and experience of the current NDA Board to help it deliver its work.
'The NDA has made great progress since it was formed in 2005 and the new non-executive appointments will greatly strengthen the advice and support to the Board.'