Strong takes up the role on 31 January and will report to Liberty Global chief executive Mike Fries. She is tasked with working with Fries to identify the strategic and operational opportunities that will shape the success of Liberty Global’s business over the coming years.
Virgin Media will announce a replacement for Strong in the coming weeks, chief executive Tom Mockridge said.
"Dana has been a pivotal member of the Virgin management team and has helped to deliver great results over the past 18 months, culminating in a record quarter for subscriber and customer growth in Q4 2014," he said.
Strong joined Virgin Media in June 2013, succeeding Andrew Barron, following its £15bn acquisition by Liberty Global. She was previously MD of Liberty Global company UPC Ireland.