The ticket ballot will run from 1 July until 4 October 2021.
Hospitality deals for the event have been on sale since last year and the R&A says 85% of packages have already been purchased.
It added there will be a balance of allocations to “ensure every generation of fan, from all over the world, as well as throughout the UK and local area will be able to attend the celebrations”.
Describing the event as “a momentous occasion for golf”, R&A chief executive Martin Slumbers said: “We expect exceptional demand.