A translating die apparatus and method for forming a piece of material into a part having complex contours. The translating die apparatus may comprise upper and lower mounts, fixed upper and lower dies fixed to the upper and lower mounts, respectively, and movable upper and lower dies translatably coupled with the mounts and configured to translate laterally toward and away from the fixed upper and lower dies. The piece of material may be placed between the upper and lower dies and one of the mounts may be actuated toward another of the mounts to sandwich the piece of material between the upper and lower dies. Simultaneously, the movable upper and lower dies may translate toward the fixed upper and lower dies, until the movable and fixed dies abut each other when the upper and lower dies are fully pressing the piece of material therebetween.