Disclosed is a variable capacity type rotary compressor (1), a cooling apparatus having the same, and an operation method thereof, wherein in the variable capacity type rotary compressor (1) and the cooling apparatus having the same, a discharge pressure to be supplied to a rear side of a second vane (430) disposed in the compressor (1) is supplied after being higher than a reference pressure, so that the compressor (1) can be switched from a saving mode into a power mode, whereby the second vane (430) can be press-contacted with a second rolling piston (420) with fast and accurately moving without vibration, resulting in preventing beforehand noise occurrence or efficiency degradation due to the vibration of the second vane (430) when the compressor (1) or the cooling apparatus having the compressor (1) is operated in the power mode.