The scoring in all the events was similar to that of the gymnastics events at the 1960 Summer Olympics in Rome, Italy. Six best gymnasts on the apparatus in the team competition (by sum of two scores - for compulsory and optional routine) qualified for that apparatus finals. The new feature of the competition was in women's events: each of them was judged by four judges, like men's ones. The highest and lowest marks were dropped and an average of two remaining marks constituted the score.
Each nation entered a team of six gymnasts. All entrants in the gymnastics competitions performed both a compulsory exercise and a voluntary exercise for each apparatus. The top five individual scores in each exercise (that is, compulsory floor, voluntary floor, compulsory vault, etc.) were added to give a team score for that exercise. The 12 team exercise scores were summed to give a team total.
No separate finals were contested for the team all-around.
Exercise scores ranged from 0 to 10, apparatus scores from 0 to 20, individual totals from 0 to 120, and team scores from 0 to 600.
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