Abstract: An apparatus for producing a sheet having many hollow bodies from thermoplastic material such as polyethylene, used for cushioning and insulation, is disclosed. Film extruded from a T die, after being cooled, is heated by an induction heating roller with a jacket and inner cooling means.The induction heating roller with a jacket and inner cooling means has, along with the jacket within a rollershell, an induction coil for heating, and a hermetically sealed heat transfer medium between the jacket and the induction coil. The characteristic feature of the present invention is a cooling means provided to cool the heat transfer medium, with advantages of rapid temperature rise and fall, and uniform temperature distribution on the circumference and longitudinal axis of the roller.Using this apparatus, a sheet having many hollow bodies, with high transparency and high product yield without defects such as partial inferior fusing, can be produced.