"In a settlement between the parties, NZME Radio agreed to pay a confidential sum to Mr Gayford."
Prime Minister Jacinda Ardern's fiancee said he would be "making no further comment."
A spokeswoman for NZME said the company would make also not comment beyond the statement.
In 2018, Police Commissioner Mike Bush took the extraordinary step of signing off a media release saying Gayford "is not and has not been the subject of any police inquiry, nor has he been charged in relation to any matter".
Police do not usually respond to enquiries seeking to confirm if individuals are under police investigation, the statement said at the time.
The move came after the fishing show host had been under an unprecedented assault of baseless rumour and false innuendo with the apparent intent of dragging down the Prime Minister.
For seven months, Gayford had been the subject - on social media and via word of mouth - of untrue allegations and accusations.
KICK is owned by NZME, which also publishes the New Zealand Herald.