A device for separating sheet material has an actuator and a sheet material holder coupled thereto. The actuator is designed for moving the sheet material holder. The sheet material holder is designed for receiving an individual sheet material piece from a sheet material stack in which the sheet material pieces are arranged in a layered manner one above another along a vertical direction. The actuator is designed to set the sheet material holder into an oscillating rotational movement about a rotation axis that lies substantially parallel to the vertical direction, in order to receive the individual sheet material piece from the sheet material stack.