The invention discloses a tripping device chiseling and riveting fixture and a riveting method thereof, which belong to the technical field of special fixtures. The tripping device chiseling and riveting fixture an upper mold, guide columns, reset springs, a lower mold, an upper punch, a rear baffle plate, a U-shaped positioning block and a lower punch, wherein the guide columns are arranged between the upper mold and the lower mold, each reset spring is connected on the corresponding guide column, the upper punch is connected with the upper mold, the U-shaped positioning block is fixed on the lower mold, a U-shaped groove is formed in the U-shaped positioning block, a lower punch fixing hole is formed in the groove bottom of the U-shaped groove, and the lower punch penetrates out of the lower punch fixing hole; and the rear baffle plate is arranged on one side of the U-shaped positioning block, a limiting groove is formed in the side wall on one side, close to the U-shaped positioning block, of the rear baffle plate, and the upper punch moves in the vertical direction along the limiting groove. The tripping device chiseling and riveting fixture can complete the riveting of a tripping device part in one step, is reliable in riveting quality, concise in structure, low in cost, and convenient in popularization and application.