Thermoplastic elastomer film vacuum bags are provided which readily conform to the surface contour of the workpiece at low pressures without failure. The thermoplastic elastomer film can be made into thin films which are able to withstand higher pressures and temperatures than the prior art nylon films. The films can also withstand the presence of epoxide and phenolic resins during pressure and cure without degradation. Preferred thermoplastic elastomers are block copolymers such as Hytrel. The films are pliable and can be used with minimal or no pleating.