Ferrovial said it needs to keep within EU legislation after the UK leaves the Union.
The company currently runs its US, Canadian, Polish and UK operations, which includes Heathrow, from Oxford.
Ferrival has a 25% stake in Heathrow, making it the biggest shareholder. It also owns Aberdeen, Glasgow and Southampton airports.
A company spokesperson told the BBC: "The reason for the move is to maintain the group's international companies under the umbrella of [EU] legislation."
Ferrovial moved to Oxford three years ago to the former headquarters of construction group Amey, which it bought in 2004.
Last week, Airbus also warned that it could leave the UK if it crashes out of the European Union single market and customs union without a transition deal.
Courtesy of Travelmole.
Glynis HT Admin