A impact power tool includes a motor rotating a drive shaft, an output shaft holding a tool bit, and a hammer coupled to the drive shaft. The hammer is rotatable together with the drive shaft and is engageable with an anvil fixed to the output shaft so as to give a rotary impact to the output shaft. The tool includes a speed commander generating a target speed intended by a user, and a speed detector for detection of a speed of the drive shaft. A speed controller generates a control signal for driving the motor by referring to the target speed and the detected speed. The speed controller provides a detection time frame, and to adopt a predefined pseudo-detection speed as a substitute for the detected speed when no speed detection is available within the detection time frame. Accordingly, even if no speed detection continues, i.e., the motor is stalled over the detection time frame, the speed controller can successfully generate the control signal by making the use of the pseudo-detection speed, thereby continues to rotate the drive shaft for generating the impact regularly and consistently without causing a delay.