The vote was taken in a meeting of drivers' body at Sepang on Friday.
Sebastian Vettel remains in his role as the other director alongside Button, while Pedro de la Rosa keeps the chairman's seat despite swapping his HRT race drive for a Ferrari development role.
"It's good for the GPDA as we have two world champions as directors now," de la Rosa told AUTOSPORT.
The GPDA also discussed the current issues over superlicence fees and penalty fines, and agreed to leave the matter with the FIA to resolve for now.
There had been surprise among GPDA members in Melbourne when drivers were fined for offences such as pitlane speeding, which the GPDA had believed would no longer be the case now that superlicence fees had been increased.
- Politics & Government
- Pedro de la Rosa
- Sebastian Vettel