The move means it takes effective control from dual investor Ring International Holdings, which remains invested on a minority basis.
Popeyes currently operates 38 sites across the UK and has plans to open over 30 new locations in 2024 after seeing exceptional growth over the last three years.
"Popeyes UK is performing very well and already demonstrating significant growth potential," says Tom Mitchell, managing partner at TDR Capital. "We are therefore pleased to be increasing our investment in the brand and the UK team which is in line with our broader strategic ambitions in the sector.
In August last year Popeyes received £50m of additional funding from TDR Capital to accelerate its restaurant opening programme.
"TDR Capital has demonstrated already why it is one of the leading private equity investors and we are thrilled to be working more closely with them as we roll out the Popeyes brand," says Popeyes UK CEO Tom Crowley.
At the end of last year the US-born fried chicken brand made its debut north of the border with a drive-thru restaurant just outside Glasgow in Barrhead’s new retail park. The site marked the group's 12th opening in the year.