The invention discloses a weaving triangle structure of a computer flat machine, which comprises two weaving triangle systems, wherein the two weaving triangle systems includes a front weaving triangle system and a rear weaving triangle system which respectively correspond to a front needle bed and a rear needle bed. Each weaving triangle system comprises a weaving system, a loop transfer system and two needle selecting systems, as well as a triangle mother board and a needle selecting mother board, the triangle mother board and the needle selecting mother board are fixedly connected, and theposition of the triangle mother board is higher than that of the needle selecting board. Each triangle mother board is provided with two guide triangles, two backstitching triangles, three weaving home triangles, three resetting triangles and four density triangles, a needle turning angle is arranged above every guide triangle and fixedly installed on the triangle mother board, and the weaving home triangles are separated one by one by the needle turning angles. In the invention, the functions of a plurality of triangle devices are integrated and completed by one triangle device, thereby not only improving the stability of the equipment, but also simplifying the structure of the equipment, reducing manufacturing cost and bringing convenience for installment and maintenance.