The 1963 Class A, Pervaya Gruppa (Russian: класс «А», первая группа) was the 25th season of top-tier football league in Soviet Union. Due to reorganization of the Soviet Union football competition by adding an extra tier, this season the top tier was renamed as Class A, Pervaya Gruppa compared to previously named as Class A.
20 teams took part in the league with FC Dynamo Moscow winning the championship. Spartak Moscow were the defending champions and came second trailing three points behind.
Team changes
Both Baltic clubs Daugava Rīga and Žalgiris Vilnius were relegated the last season to the Class A, Vtoraya Gruppa after finishing in the last two places. There were no new teams promoted to the league due to the reorganization and number of participants was reduced from 22 to 20.