A compact, lightweight electric motor driven compressor suitable for an air conditioning system using a CO2 refrigerant is disclosed. The thickness of a motor casing is reduced by using the gaps formed in the motor portion in a motor casing as a part of a low-pressure intake chamber, while forming a part of the discharge chamber by utilizing the annular gap between the inner surface of a pump casing and the outer surface of a compressor portion. In the case where CO2 refrigerant is used, the compressor portion can be reduced in size and therefore a dead space is generated due to the difference in size with the motor casing. Since this dead space is used as a discharge chamber, the capacity of the discharge chamber can be increased to suppress the discharge pulsation.