A vacuum bagging system for vacuum bagging a fiber-reinforced polymer component for an aircraft or spacecraft includes a vacuum bagging film or membrane which is configured to cover and seal the component during molding. The vacuum bagging film or membrane is pre-formed, e.g. thermoformed, to a shape or to an external geometry of the component to be molded. A method of vacuum bagging a fiber-reinforced polymer component of an aircraft or space-craft, includes the steps of: arranging a component to be molded in a vacuum bagging assembly for forming a fiber-reinforced polymer component; pre-forming a vacuum bagging film or membrane to a shape or external geometry of the component; and arranging the vacuum bagging film or membrane on or over the component in the vacuum bagging assembly such that the film or membrane form-fittingly covers the component.