The 1964 Class A First Group was the 26th season of the Soviet football championship at top division and the 15th for Class A. The season started on 27 March 1964 and finished on 8 November 1964. Upon conclusion of the regular season, at the end of November in warmer Tashkent took place additional play-offs for the first place and the 13th place.

• 17 teams took part in the league with FC Dinamo Tbilisi winning the championship.
• Volga Gorky and Shinnik Yaroslavl were the newly promoted clubs.
• According to the rules, if two teams had the equal number of points the winner was decided by the final match between them. The game between Dinamo and Torpedo took place in Tashkent, Uzbekistan SSR with FC Dinamo Tbilisi winning 4-1 after extra time.
• FC Dynamo Kyiv qualified for CWC 1965–66 by beating Krylya Sovetov Kuybyshev 1–0 in the national cup this year becoming the first Soviet football club in European competitions.
• The defending champions Dynamo Moscow placed seventh.

Pos	Team	Pld	W	D	L	GF	GA	GD	Pts	Qualification
1	Dinamo Tbilisi (C)	32	18	10	4	48	30	+18	46	League champions
2	Torpedo Moscow	32	19	8	5	52	19	+33	46
3	CSKA Moscow	32	16	11	5	49	23	+26	43
4	SKA Rostov-on-Don	32	16	6	10	40	28	+12	38
5	Shakhtyor Donetsk	32	13	11	8	35	26	+9	37
6	Dinamo Kiev	32	10	16	6	42	29	+13	36	Qualification for Cup Winners' Cup first round
7	Dinamo Moscow	32	12	10	10	33	31	+2	34
8	Spartak Moscow	32	12	8	12	34	32	+2	32
9	Dinamo Minsk	32	7	17	8	24	21	+3	31
10	Krylya Sovetov Kuybyshev	32	7	14	11	24	35	−11	28
11	Zenit Leningrad	32	9	9	14	30	35	−5	27
12	Neftyanik Baku	32	8	11	13	25	30	−5	27
13	Torpedo Kutaisi	32	10	7	15	20	37	−17	27
14	Volga Gorky (R)	32	7	13	12	19	38	−19	27	Relegation to Class A Second Group
15	Kairat Alma-Ata (R)	32	8	10	14	23	27	−4	26
16	Shinnik Yaroslavl (R)	32	6	9	17	20	48	−28	21
17	Moldova Chișinău (R)	32	6	6	20	15	44	−29	18

16 goals

• Vladimir Fedotov (CSKA)

15 goals

• Viktor Kanevskyi (Dinamo Kiev)

14 goals

• Valentin Ivanov (Torpedo Moscow)

13 goals

• Ilya Datunashvili (Dinamo Tbilisi)

12 goals

• Slava Metreveli (Dinamo Tbilisi)

10 goals

• Oleg Kopayev (SKA Rostov-on-Don)
• Eduard Malofeyev (Dinamo Minsk)
• Viktor Ponedelnik (SKA Rostov-on-Don)
• Oleg Sergeyev (Torpedo Moscow)

9 goals

• Yuri Ananchenko (Shakhtyor)
• Vladimir Barkaya (Dinamo Tbilisi)
• Igor Chislenko (Dynamo Moscow)
• Valeryan Chkhartishvili (Torpedo Kutaisi)
• Boris Kazakov (CSKA)

• Soviet Union - List of final tables (RSSSF)