NOVELTY - The apparatus has a waste gate valve (2) that opens and closes bypass channel (1) according to supercharging pressure of compressor (15a). An accumulator (6) is connected to downstream hole portion (11b) of bypass channel rather than waste gate valve for accumulating exhaust pressure. A recirculation channel (8) is provided to connect accumulator and upper hole portion (11a) of turbine (15b). A recirculation valve (9) is arranged on recirculation channel to open and close pressure accumulation channel (4) according to output requirement of recirculation channel.    USE - Supercharging control apparatus of internal combustion engine mounted in vehicle.    ADVANTAGE - The exhaust pressure can be reused and the energy loss can be decreased by flowing the exhaust pressure through bypass channel during opening of waste gate valve, so that the output of internal combustion engine can be raised. The start property and acceleration property of vehicle can be improved by reusing exhaust pressure, when high output is required at the time of the vehicle start whose boost pressure is comparatively low pressure. The waste gas performance and fuel-consumption performance can be improved by raising the boost pressure. The distribution direction of the exhaust pressure introduced from bypass channel to accumulator can be controlled by providing three-way-valve, and the pressure accumulation function can be added, without impairing the function of the waste gate valve. Since the communication destination of three-way-valve can be changed according to the internal pressure of accumulator, the exhaust pressure can be reliably stored to predetermined pressure, and the exhaust pressure at the time of reusing can be ensured. The back flow from the accumulator to the three-way-valve side can be prevented reliably. The improvement of the start property of vehicle, and improvement of waste gas and fuel consumption of vehicle can be achieved effectively.    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic block diagram of the internal combustion engine. (Drawing includes non-English language text)    Bypass channel (1)    Waste gate valve (2)    Pressure accumulation channel (4)    Accumulator (6)    Recirculation channel (8)    Recirculation valve (9)    Upper hole portion (11a)    Downstream hole portion (11b)    Compressor (15a)    Turbine (15b)