The invention relates to a frame formwork system which comprises a formwork support system, a supporting system, a corner reinforcement structure and a connecting section. The formwork support system comprises a laid floor slab form and side wall forms erected below the floor slab form; the supporting system comprises a supporting structure supported between the floor slab form and the supporting surface and a braced structure supported between the side wall formworks opposite to each other; and the corner reinforcement structure is formed in the corners of the floor slab form and the side wall formworks and comprises a connecting section, an adapter plate, an S-shaped adapter piece and a frame board. According to the invention, the structural strength at the corner of the formwork system is improved by virtue of the corner reinforcement structure, the firmness and reliability of the formwork system are improved, and the problems that pulp leakage is easily caused and damage to the frame of the frame formwork is caused in the existing connecting scheme between the frame formwork and the frameless formwork and the like are solved.