A control device for a two-shaft gas turbine power generation facility includes: a basic output calculation unit which obtains a basic output command value in accordance with a required output; a component separation unit which divides the basic output command value into high and low frequency components; an opening degree command output unit which obtains an opening degree of a fuel adjustment valve and outputs an opening degree command to the fuel adjustment valve; a basic power transmission and reception amount calculation unit which obtains a basic power transmission and reception amount of the electric power between an induction motor and a power system on the basis of the high-frequency component; and a power transmission and reception command output unit which outputs a power transmission and reception command indicating a power transmission and reception amount in accordance with the basic power transmission and reception amount to a frequency converter.