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But Mr Cull, who has been required to issue a number of apologies during his term as mayor, says he does not plan to tone down his language.
''When you're a public figure and you're dealing with matters of some import you have to be forthright.
''Sometimes, you might slightly overstate things.''
The latest apology came after an August 23 opinion piece he wrote that appeared in the Dominion Post and other media about the Taxpayers' Union 2017 ratepayers' report.
Mr Cull said in a press release the organisation objected to two sentences in the piece about analysis work conducted in 2014 he said was withdrawn because it contained errors.
However, the union had told him the work was taken down because it was out of date, and he had asked the Dominion Post to delete the references to the work undertaken in 2014.
''LGNZ apologises to the Taxpayers' Union for any confusion,'' the organisation said.
LGNZ has paid the union $2500 in costs.
However, LGNZ stood by its concerns about ''the utility and relevance'' of the 2017 ratepayers report.
Union executive director Jordan Williams said Mr Cull's comments were demonstrably wrong.
''He got the basic facts totally wrong.''
The union said it accepted Mr Cull's apology and financial payment as full and final settlement of the matter.
2012: Mr Cull apologises and contributes $29,000 to legal fees of former Otago Rugby Football Union members Laurie Mains and Wayne Graham. The pair began defamation proceedings after the mayor questioned the performance of the union’s former board in a Radio New Zealand interview.
2013: Mr Cull apologised for comments in which he characterised the Dalai Lama as ‘‘the leader of a minority sect’’.
2014: Mr Cull apologises in writing to Cr Lee Vandervis after accepting he breached the Dunedin City Council’s code of conduct by calling Cr Vandervis’ public office experience ‘‘shonky’’.
2017: Mr Cull pays Cr Vandervis $50,000 payment but issues no apology after a defamation case was settled without a jury trial. The issue followed a heated exchange during a council meeting in 2015, when Cr Vandervis claimed to have paid a backhander to secure a council contract in the 1980s.