A milling device having a first milling station with a first workpiece spindle capable of rotating about a first spindle axis A1 intended to receive a first lens blank and with a first milling tool with first cutters capable of rotating about a first milling axis FA1 intended for machining a received first lens blank. At least one second milling station with a second workpiece spindle capable of rotating about a second spindle axis A2 receives a second lens blank, and with a second milling tool with second cutters capable of rotating about a second milling axis FA2 machining the received second lens blank, the spindle axes A1, A2 being aligned parallel to one another, the milling axes FA1, FA2 being aligned parallel to one another, and obliquely aligned to the spindle axes A1, A2. The invention also includes a method for the operation of the milling device.