TVNZ spokesperson Megan Richards said the company was deeply sorry for the error and had been in touch with the family.
Its chief executive had personally apologised and an apology aired on the 6pm news today, Newstalk ZB reported.
Gisborne police were also critical of a report on the front page of the Dominion Post newspaper yesterday that featured a photograph captioned as being Mr Bunyan, when it was actually of a good friend.
A correction appeared in the newspaper today.
"All it would have taken in both cases was a quick telephone call to police," Mr Ford said.
But police have also been criticised for not front-footing the issue.
On a Facebook group for media professionals, one journalist wrote police had not "come to the party on this story".
"You can't just put out a press release and then not make a spokesperson available, which is what happened for us at least."