Fox has previously held senior roles with Asda and Walmart in Canada.
Stephen Billingham, chairman of Punch, said: “We are very pleased that Emma will be joining the board of Punch. She brings a wealth of commercial and marketing experience across a number of sectors with her roots firmly in the drinks business.”
Punch also revealed that Ian Dyson, a former chief executive of the company, will leave his non-executive post after the January 2017 AGM. Dyson joined Punch from Marks & Spencer, where he was finance director.