Watkins died at the age of 84 last Thursday.
The FIA announced there will be a minute's applause in Watkins's honour on the grid for the Singapore Grand Prix on Sunday.
Also, throughout the weekend, a book of remembrance will be available for the F1 community to write their own personal messages of condolence.
At a later date, the book will be presented to the Watkins family on behalf of the FIA, the FIA Institute and the F1 community as a whole.
"The FIA and the FIA Institute will continue to consider the most appropriate permanent tribute to Professor Watkins, in recognition of his achievements and his unique legacy for motor sport," said the FIA.