The new non-executive directors are part of a strategic development plan at HIC, which is now undergoing work to add an £11m extension by the end of the year.
Nigel McClea, Maggie Punyer and Richard Taylor will join the HIC board later this summer.
McClea is currently chair of Marketing Leeds, chair of Leeds Ahead and a trustee of the Hepworth Wakefield Gallery, which opened in May.
Punyer is public sector director at Ocean Media Group, while Taylor is a founder member of the Harry Ramsden’s brand and was managing director at the fish and chip business for 14 years.
HIC director Angus Houston said: "In a time of significant change, and fluid and volatile economic markets, we are delighted to welcome Nigel, Maggie and Richard to the board of HIC and look forward to the significant contribution that they are likely to give.
"These are extremely exciting times for HIC, with the new exhibition hall development coming on stream shortly, alongside some fundamental strategic changes to our business model."