The present invention relates to a continuous separation and discharge apparatus and method of solid catalysts and liquid products for Fischer-Tropsch synthesis reactions, and more particularly, to a continuous separation and discharge apparatus and method of solid catalysts and products for Fischer-Tropsch synthesis reactions involving the conversion of synthetic gas into synthetic oil, by which products of the Fischer-Tropsch synthesis including wax, as a long-chain hydrocarbon, can be stably obtained by continuously separating the products from a slurry comprising solid catalyst particles and the products using periodic pulses of a feeding gas and discharging the products through a lower portion of a reactor. Provided is a continuous separation and discharge apparatus of solid catalysts and products for Fischer-Tropsch synthesis reactions including: a level sensing device which is installed at an upper portion of a reactor and detects the slurry-level of reactants; a solid catalyst/product separation device and a discharge device which are installed at a lower portion of the reactor and separate and discharge liquid products from a mixed slurry in the reactor; and a control unit which receives a signal from the level sensing device to open and close the discharge device, wherein the separation device filters the solid catalysts, and the discharge device continuously discharges the products separated from the solid catalysts through the lower portion of the reactor by the amount of the synthesized products measured by a level sensing device.