At the 1964 Summer Olympics, fourteen different artistic gymnastics events were contested, eight for men and six for women.
All events were held at the Tokyo Metropolitan Gymnasium in Tokyo from 18 October through 23 October.
The six best gymnasts on the apparatus in the team competition (by sum of two scores—for compulsory and optional routines) qualified for that apparatus finals.
The highest and lowest marks were dropped and an average of three remaining ones constituted the score.
The highest and lowest marks were dropped and an average of two remaining ones constituted the score.