Former Toro Rosso racer Buemi won the world endurance championship for Toyota this season, with Britain's Anthony Davidson, and has also raced in the new Formula E electric series.
"He’s been closely associated with the team for some years now, we value his skills very highly and we have a great working relationship with him," said team principal Christian Horner in a statement confirming Buemi's continuation.
"His experience has proved invaluable over the years and it is great to have another world champion at the team."
Australian Daniel Ricciardo and Russian Daniil Kvyat are the team's race drivers next year following the departure of Sebastian Vettel to Ferrari.
(Reporting by Alan Baldwin, editing by Justin Palmer)
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