A turbo compressor is disclosed. The compressor includes a hermetically sealed shell, a motor chamber formed at a center portion of the shell, a driving motor installed in the motor chamber, a driving shaft engaged with the driving motor having its one end inserted into a first compression chamber and its other end inserted into a second compression chamber with said first and second compression chambers being formed at both sides of the shell, first and second impellers disposed in the first and second compression chambers in a face-to-face form and rotatably engaged with both ends of the driving shaft, and a gas flow path through which a refrigerant gas is sucked for thereby first compressing the gas in the first compression chamber and discharging to the second compression chamber for thereby implementing a small size compressor, decreasing the number of parts and increasing a compression efficiency.