The invention discloses a curved plate punching machine. The curved plate punching machine comprises a rectangular base, hydraulic lifting rods, a cylindrical support rod, a cylindrical sleeve, a [-shaped bracket, two fixed rollers, a rectangular arch plate, two auxiliary rollers, two Y-shaped support bars, a first motor, a cam, a cam sleeve, a needle rod, a support rod, a second motor, a rotatingrod, a compression spring, a pressure sensor, a second motor control module and a drill bit. A curved plate can be fixed stably, replacement operation of the punching position can be quickly completed, continuous punching is realized, and the efficiency of plate punching is improved; and on the other hand, the pressure of the drill bit on a plate in the punching process is from small to large, the situation that the plate is broken due to sudden high pressure from the drill bit is avoided, the plate punching yield is improved, and energy is saved.