A separating system for separating individual container products from a frame assembly of plastic material, particularly polypropylene, has at least one stamping device (36) that at least partially separates the respective container product from a frame waste. By the stamping device (36) including a free fall body (52) separating the respective frame waste from the associated container product from an initial position during free fall, the separation can be carried out with very high speed (free fall) and additional mechanical components for applying a constraint force on the stamping body during the creating of the separating line can be omitted.