FK Drezga was founded on 1972, as a team of Piperi region near Podgorica.

At their first seasons, FK Drezga played in the Fourth League - Central region (lowest rank in SFR Yugoslavia).

Only two years later, Drezga won the champions title in the Fourth League - Central and gained historical promotion to the Montenegrin Republic League.

They were eliminated in the Round of 16, against First League side OFK Petrovac (0-3; 0-4).

Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply.