The 1959 FDGB-Pokal was the eleventh edition of the FDGB-Pokal. The competition started with a qualifying round comprising the 30 finalists of the 15 regional district cups (German: Bezirkspokal), 54 teams from the third tier II. DDR-Liga and 14 teams from the second tier DDR-Oberliga. The winners of the qualifying round then met the 14 teams from the first tier DDR-Oberliga in the First round.