Chisholm, the co-founder and managing partner of California-based private equity firm Symphony Technology Group, is from the Boston area and a lifelong fan of the Celtics, who won a record 18th NBA championship last year when beating the Dallas Mavericks.
“Growing up on the North Shore and attending college in New England, I have been a die-hard Celtics fan my entire life,” he said.
“I understand how important the Celtics are to the city of Boston – the role the team plays in the community is different than any other city in the country.
“I also understand that there is a responsibility as a leader of the organisation to the people of Boston, and I am up for this challenge.”
Wyc Grousbeck and the current ownership group purchased the Celtics for $360m (£277m) in 2002.
Grousbeck is set to remain in his role as chief executive and governor until the end of the 2027-28 season, before Chisholm takes control of team operations.