Red Bull said Horner had signed a new, multi-year contract.
The 39-year-old Briton joined the Milton Keynes-based team in 2005 after Red Bull bought out Jaguar.
The previous year he successfully led the Arden team he founded to the final F3000 title.
Red Bull has won the drivers' and constructors' championships three years in a row since 2010, and has also secured 34 grand prix wins and 46 pole positions.
- Sports & Recreation
- Red Bull