1963–64 Yugoslav First League
|Champions||Red Star (7th title)|
|Relegated||FK Novi Sad|
|European Cup||Red Star|
|Cup Winners' Cup||Dinamo Zagreb|
|Inter-Cities Fairs Cup||OFK Beograd
|Top goalscorer||Asim Ferhatović (19)|
The 1963–64 Yugoslav First League season was the 18th season of the First Federal League (Serbo-Croatian: Prva savezna liga), the top level football league of SFR Yugoslavia, since its establishment in 1946. Fourteen teams contested the competition, with Red Star winning their 7th title.
|Dinamo Zagreb||Zagreb||SR Croatia||2nd|
|Hajduk Split||Split||SR Croatia||11th|
|FK Novi Sad||Novi Sad||SR Serbia||8th|
|OFK Belgrade||Belgrade||SR Serbia||5th|
|Radnički Niš||Niš||SR Serbia||6th|
|Red Star||Belgrade||SR Serbia||7th|
|Sarajevo||Sarajevo||SR Bosnia and Herzegovina||9th|
|Velež||Mostar||SR Bosnia and Herzegovina||4th|
|Vojvodina||Novi Sad||SR Serbia||12th|
|Željezničar||Sarajevo||SR Bosnia and Herzegovina||3rd|
||Qualification or relegation
|1||Red Star (C)||26||14||8||4||45||22||+23||36||1964–65 European Cup|
|2||OFK Belgrade||26||11||11||4||49||32||+17||33||1964–65 Inter-Cities Fairs Cup|
|3||Dinamo Zagreb||26||12||9||5||40||29||+11||33||1964–65 European Cup Winners' Cup|
|7||Vojvodina||26||9||6||11||34||31||+3||24||1964–65 Inter-Cities Fairs Cup|
|13||Novi Sad (R)||26||7||7||12||30||52||−22||21||Yugoslav Second League 11964–65|
Rules for classification: 1) points; 2) goal difference; 3) number of goals scored
1 Despite getting relegated based on the results, it was decided that FK Vardar would be allowed to remain in the top-flight Yugoslav First League the following season due to the devastating earthquake that hit Skopje in July 1963. The thinking on the part of Yugoslav politicians was that having a team in the top-tier league would be a boost to the morale of inhabitants of Skopje.
(C) = Champion; (R) = Relegated; (P) = Promoted; (E) = Eliminated; (O) = Play-off winner; (A) = Advances to a further round.
Only applicable when the season is not finished:
(Q) = Qualified to the phase of tournament indicated; (TQ) = Qualified to tournament, but not yet to the particular phase indicated; (RQ) = Qualified to the relegation tournament indicated; (DQ) = Disqualified from tournament.