This paper introduces the detailed construction of the cryostat deviced by Claudet et al for the pressurized superfluid helium II, in which the idea of the mutual friction between quantized voltices and normal components is applied. We also describes the test process of the cryostat operation. Five liters of superfluid helium under the atmospheric pressure were successfully cooled down to 1.6K by the use of a 3000l/min. mechanical pump.