The invention relates to an anti-jumping switch-on-off hydraulic operation mechanism and a breaker with the operation mechanism. The hydraulic operation mechanism comprises a working cylinder which is provided with a control cavity, and further comprises a hydraulic control unit which comprises a hydraulic operated directional valve; the hydraulic operated directional valve is provided with a switch-on control cavity and a switch-off control cavity, the switch-off control cavity is communicated with a switch-off control oil way, and the switch-off control oil way is communicated with a low-pressure oil way through a switch-off solenoid valve; an anti-jumping on-off valve is connected at the position, between the switch-off solenoid valve and the switch-off control cavity, on the brake closing control oil way in series and comprises a valve body, and the valve body is provided with a communication channel connected to the switch-off control oil way in series; and a reset mechanism for applying reset action force on a valve element is further arranged in the valve body, a driving force applying cavity is formed in the communication channel of the anti-jumping on-off valve, and the valve element is provided with a driving force applying face facing the driving force applying cavity. After the brake closing control oil way is blocked by the valve element of the anti-jumping on-off valve, switch-off operation cannot be carried out within set time, and jumping is further prevented.