A compressor is provided, and may include a cylinder including an outer cylinder portion, an inner cylinder portion, and a vane portion which is connected between the outer cylinder portion and the inner cylinder portion, and is fixed to a casing. A rolling piston may be slidably coupled to the vane portion to form an outer compression space and an inner compression space while making a turning movement between the outer cylinder portion and the inner cylinder portion. Through this, a weight of a rotating body may be reduced to obtain a low power loss with respect to the same cooling power and a small bearing area, thereby reducing refrigerant leakage as well as easily changing a capacity of a cylinder in an expanded manner. In addition, refrigerant may be discharged in opposite directions to each other in each compression space, thereby reducing vibration noise of the compressor.