Val Gooding replaces Sir Peter Gershon who will retire at next month’s annual general meeting after seven years in post.
Private health provider Bupa trebled in size during Ms Gooding’s time at the helm.
Dennis Millard, senior independent director, at Leeds-based Premier, said: “said “We are delighted that Val will be joining as we continue to execute our strategy for profitable growth, bringing innovation and differentiation to the global high service distribution sector. She will bring outstanding qualities to the role of Chairman and we welcome her to the company.
“We would also to thank Sir Peter Gershon for his strong leadership and invaluable counsel over the past 7 years. His insight and experience has been important throughout this time as we have worked to transform the organisation. “