The invention discloses a gas turbine combustion system. The gas turbine combustion system includes an equipment shell, a first transmission cavity is formed in the equipment shell, a second transmission cavity is formed in the equipment shell, and a first rotating shaft is mounted between the first transmission cavity and the second transmission cavity in a normal running fit mode; a gear is fixedly arranged on the periphery of the first rotating shaft, a limiting groove is formed in the inner wall of the back side of the first transmission cavity, and a first limiting block is mounted in thelimiting groove in a sliding fit mode; and an L-shaped rack is fixedly arranged on the end face of the front side of the first limiting block, the L-shaped rack is meshed with the gear, a third transmission cavity is formed in the upper part of the first transmission cavity in a communicating mode, a second rotating shaft is mounted on the inner wall of the right side of the third transmission cavity in a normal running fit mode, a first bevel gear is fixedly arranged on the end face of the left side of the second rotating shaft, a bearing sleeve is fixedly arranged on the periphery of the second rotating shaft, and a first connecting rod is fixedly arranged at the lower end of the bearing sleeve.