A press drive for a press includes an elbow lever drive. The elbow lever drive includes a first lever, a second lever and a connecting rod. The lengths of the two levers as well as the connecting rod are fixed. The first lever is pivotally supported on the press frame by a first support bearing. The second lever is supported on the plunger via a second support bearing. The connecting rod and the two levers are supported by an elbow joint so as to be pivotable relative to each other about a common pivot axis. The connecting rod is driven by an eccentric drive. An adjustment arrangement is provided for moving the eccentric drive relative to the press frame or respectively, the first support bearing. In this way, different operating modes can be established depending on the position of the eccentric drive along the adjustment path.