An electric rapid ratchet wrench includes a driving device mounted in a body to which a power device is mounted. A transmission device is mounted between the driving device and the power device and is rotatably mounted to the body. The transmission device transmits a torque from the power device to drive the driving device. A clutch device is mounted between the driving device and the power device. The clutch device includes a driven member and a driver member movable in a radial direction perpendicular to a rotating axis to disengageably engage with the driven member. When a large resistance larger than the torque of the power device is encountered at a position while the driving device is driving a fastener, the driver member repeatedly engages with and disengages from the driven member. The body is manually rotatable to forcibly drive the fastener through the position via the driving device.