The invention discloses a dismounting and mounting machine for a prefabricated box culvert mould core. The dismounting and mounting machine is composed of hydraulic cylinders, a hydraulic station, a multi-way valve, an upper vehicle frame, upper vehicle tracks, upper vehicle wheels, upper vehicle wheel driving motors, a lower vehicle frame, lower vehicle tracks, lower vehicle wheels and lower vehicle wheel driving motors, wherein the four hydraulic cylinders are provided and are fixedly arranged at two sides of the upper vehicle frame; the multi-way valve and the hydraulic station are arranged on the upper vehicle frame; the multi-way valve is connected between the hydraulic station and the hydraulic cylinders through an oil transmission pipeline; the upper vehicle frame, the upper vehicle tracks, the upper vehicle wheels and the upper vehicle wheel driving motors form an upper sliding mechanism; the lower vehicle frame, the lower vehicle tracks, the lower vehicle wheels and the lower vehicle wheel driving motors form a lower siding mechanism; and the upper sliding mechanism is parallel to the lower sliding mechanism, and the connecting way of the upper sliding mechanism is similar to that of the lower sliding mechanism. The dismounting and mounting machine for the prefabricated box culvert mould core can be used for self-loading and self-unloading a box culvert mould core, loading and unloading by using a crane are not needed, and transporting by a fork lift truck is not needed, so that the loading and unloading expenses are greatly reduced; and when the mould core is removed, the dismounting and mounting machine is high in precision, good in stability, free of deflection and flexible in operation.