1985–86 Yugoslav Cup
The 1985–86 Yugoslav Cup was the 38th season of the top football knockout competition in SFR Yugoslavia, the Yugoslav Cup (), also known as the "Marshal Tito Cup" (Kup Maršala Tita), since its establishment in 1946. It was won by Velež.

Calendar

First round
In the following tables winning teams are marked in bold; teams from outside top level are marked in italic script.

Second round

Quarter-finals

Semi-finals

Final