The men's rings was a gymnastics

Gymnastics

Gymnastics is a sport involving performance of exercises requiring physical strength, flexibility, agility, coordination, and balance. Internationally, all of the gymnastic sports are governed by the Fédération Internationale de Gymnastique with each country having its own national governing body...

 event contested as part of the Gymnastics at the 1964 Summer Olympics

Gymnastics at the 1964 Summer Olympics

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 October 18 through October 23....

 programme at the Tokyo Metropolitan Gymnasium

Tokyo Metropolitan Gymnasium

is a world-class sporting complex in Sendagaya, Shibuya, Tokyo, Japan. Built in 1954 for the World Wrestling Championship, it was also used as the venue for gymnastics events at the 1964 Summer Olympics...

.

Medalists

Gold	Silver	Bronze

Preliminary

Each gymnast competed in both compulsory and optional exercises, with the median

Median

In probability theory and statistics, a median is described as the numerical value separating the higher half of a sample, a population, or a probability distribution, from the lower half. The median of a finite list of numbers can be found by arranging all the observations from lowest value to...

 scores from the four judges for the two sets of exercises were summed. This score was also used in calculating both individual all-around

Gymnastics at the 1964 Summer Olympics - Men's individual all-around

The men's individual all-around was a gymnastics event contested as part of the Gymnastics at the 1964 Summer Olympics programme at the Tokyo Metropolitan Gymnasium.-Medalists:-Results:...

 and team

Gymnastics at the 1964 Summer Olympics - Men's team competition

The men's team competition was a gymnastics event contested as part of the Gymnastics at the 1964 Summer Olympics programme at the Tokyo Metropolitan Gymnasium.-Medalists:-Results:...

 scores.

The top 6 advanced to the final for the apparatus, keeping half of their preliminary score to be added to their final score.

1.		9.80	9.70	19.50	QF
2.		9.70	9.75	19.45	QF
		9.65	9.80	19.45	QF
4.		9.70	9.70	19.40	QF
5.		9.70	9.65	19.35	QF
6.		9.70	9.60	19.35	QF
7.		9.60	9.65	19.25
8.		9.55	9.60	19.15
9.		9.50	9.60	19.10
		9.50	9.60	19.10
		9.55	9.55	19.10
12.		9.45	9.60	19.05
		9.50	9.55	19.05
14.		9.50	9.50	19.00
		9.40	9.60	19.00
16.		9.40	9.45	18.85
		9.35	9.50	18.85
18.		9.25	9.55	18.80
		9.35	9.45	18.80
		9.40	9.40	18.80
21.		9.35	9.40	18.75
		9.35	9.40	18.75
23.		9.25	9.45	18.70
		9.30	9.40	18.70
		9.20	9.50	18.70
26.		9.25	9.40	18.65
		9.30	9.35	18.65
28.		9.30	9.30	18.60
		9.35	9.25	18.60
		9.30	9.30	18.60
31.		9.25	9.30	18.55
		9.30	9.25	18.55
		9.20	9.35	18.55
		9.25	9.30	18.55
35.		9.20	9.30	18.50
		9.15	9.35	18.50
		9.25	9.25	18.50
38.		9.20	9.25	18.45
		9.15	9.30	18.45
		9.05	9.40	18.45
41.		9.10	9.30	18.40
42.		9.00	9.35	18.35
		9.10	9.25	18.35
		9.05	9.30	18.35
		9.10	9.25	18.35
46.		9.20	9.10	18.30
		9.20	9.10	18.30
		9.05	9.25	18.30
49.		9.10	9.15	18.25
		9.20	9.05	18.25
		8.85	9.40	18.25
		9.10	9.15	18.25
		9.10	9.15	18.25
54.		9.10	9.10	18.20
		9.10	9.10	18.20
56.		8.95	9.15	18.10
57.		8.95	9.10	18.05
		8.90	9.15	18.05
		9.00	9.05	18.05
60.		8.95	9.05	18.00
		8.90	9.10	18.00
62.		8.95	9.00	17.95
		8.85	9.10	17.95
		9.00	8.95	17.95
65.		8.95	8.95	17.90
		8.85	9.05	17.90
		8.85	9.05	17.90
		8.80	9.10	17.90
69.		8.65	9.20	17.85
		9.00	8.85	17.85
71.		8.70	9.10	17.80
		8.85	8.95	17.80
		8.75	9.05	17.80
74.		8.85	8.90	17.75
		8.60	9.15	17.75
		8.55	9.20	17.75
77.		9.00	8.70	17.70
78.		8.80	8.85	17.65
79.		8.80	8.80	17.60
80.		8.95	8.60	17.55
81.		8.70	8.80	17.50
		8.55	8.95	17.50
		8.55	8.95	17.50
		8.60	8.90	17.50
		8.75	8.75	17.50
		8.55	8.95	17.50
87.		8.35	9.10	17.45
88.		8.40	9.00	17.40
89.		8.60	8.75	17.35
		8.45	8.90	17.35
91.		8.50	8.70	17.20
		8.55	8.65	17.20
		9.00	8.20	17.20
94.		8.46	8.65	17.10
		8.90	8.20	17.10
		8.75	8.35	17.10
97.		8.90	8.15	17.05
98.		8.40	8.60	17.00
		8.25	8.75	17.00
100.		8.00	8.90	16.90
101.		8.40	8.40	16.80
		8.35	8.45	16.80
103.		8.30	8.45	16.75
		8.70	8.05	16.75
105.		8.10	8.60	16.70
106.		8.00	8.55	16.55
107.		8.10	8.30	16.40
108.		8.00	8.35	16.35
		7.85	8.50	16.35
110.		7.50	8.25	16.25
111.		7.85	8.35	16.20
		8.25	7.95	16.20
		7.80	8.40	16.20
114.		7.60	8.45	16.05
115.		7.40	8.50	15.90
116.		7.30	8.50	15.80
117.		7.35	7.90	15.25
118.		7.00	7.90	14.90
119.		6.50	8.10	14.60
120.		7.00	7.55	14.55
121.		7.50	7.00	14.50
122.		6.65	7.30	13.95
123.		6.00	7.70	13.70
124.		6.00	7.50	13.50
125.		6.50	6.50	13.00
126.		4.70	7.45	12.15
127.		8.70	—	8.70
128.		6.65	—	6.65
129.		—	—	0.00
		—	—	0.00

Final

		9.725 (2nd)	+9.750 (1st)	19.475
		9.725 (2nd)	+9.700 (2nd)	19.425
		9.700 (4th)	+9.700 (2nd)	19.400
4.		9.650 (6th)	+9.700 (2nd)	19.350
5.		9.675 (5th)	+9.600 (5th)	19.275
6.		9.750 (1st)	+9.500 (6th)	19.250

Sources