The invention relates to a method for operating a gas turbine power plant with flue gas recirculation in which the flue gases are split into a first flue gas flow (21) for recirculation into an intake flow (3) of the gas turbine and into a second flue gas flow (20) for discharging to the environment, wherein the first flue gas flow (21) is cooled in a recooler before (27) the first flue gas flow (21) is mixed with ambient air (2) for forming the intake flow. The recirculation flow, after being recooled, is reheated in order to avoid condensation of vaporous water contained in the recycled flue gases during cooling as a result of the mixing with the ambient air. Besides, the invention relates to a gas turbine power plant provided with flue gas recirculation, which includes a heat exchanger (37) for reheating the recirculation flow after being recooled.