Bronwyn Pullar and her advocate Michelle Boag, a former National Party president, met with ACC senior manager Philip Murch in December last year to discuss it and the breach was publicised last week.
Former ACC minister Nick Smith resigned from cabinet this week after the Herald revealed he had written a reference for Ms Pullar last year and personally handled a complaint about her case in 2010.
Dr Smith's involvement in the case is not part of the newly announced inquiry.
The Office of the Privacy Commissioner has been involved in finalising the terms of reference and suggesting Mr Crompton for the role as an expert independent reviewer.
Individual privacy complaint about the data breach will be handled as usual by the Privacy Commissioner complaints investigation process, Mrs Shroff said.
The inquiry will commence on march 28 and is estimated to take three months.
The review team will report its findings to the ACC Board and the Privacy Commissioner and its findings will be made public.
ACC has also referred the matter to the police.
Mrs Shroff issued her statement at the same time as the ACC issued its statement on the inquiry.