The invention discloses a turbine guide vane and a gas turbine engine. A cooling cavity is arranged in the turbine guide vane; the turbine guide vane comprises a front edge, a tail edge, a pressure surface and a suction surface; premixed gas injection holes communicating with the cooling cavity are formed in the turbine guide vane; and fuel is injected to the inner wall face of the cooling cavity from the cooling cavity, so that the fuel absorbs heat and is gasified on the inner wall face of the cooling cavity and then mixed with cold air in the cooling cavity to form premixed gas, and the premixed gas is injected to high-temperature high-pressure fuel gas around the turbine guide vane via the premixed gas injection holes to be combusted. According to the turbine guide vane, the energy added by the fuel combustion is increased through the supplementary combustion in the turbine guide vane, so that the temperature margin of a subsequent stage of turbine is fully utilized, the output power of the whole machine is greatly increased, and the power-to-weight ratio of the gas turbine engine is increased.