Minogue was in negotiations to reprise her role on the show after last year's panellist Kelly Rowland ruled herself out.
The Australian entertained the idea of a return despite disclosures that she and show boss Simon Cowell had an affair. But discussions have now foundered.
More top news
James Wright has the weather for the west of the region
James Wright has the weather for the east of the region
Celebrations are continuing for Chinese New Year in Berkshire.