The 2012–13 Slovak Cup, also known as Slovnaft Cup for sponsorship reasons, was the 44th edition of the competition.
43 clubs participated in the tournament.
The winners of the competition, ŠK Slovan Bratislava, as the 2013–14 Slovak First Football League champion qualified for the second qualifying round of the 2013–14 UEFA Champions League.
The Slovak Cup runner-up team, MŠK Žilina, qualified for the first qualifying round of the 2013–14 UEFA Europa League.
(all teams received a bye to the 2nd round)