A massaging machine is provided with a massaging mechanism comprising a displacement device, a rubbing device, a pounding device, and an angle-adjusting device. The rubbing device and the pounding device are provided with a shaft driven by a motor. The shaft of the rubbing device is provided at two ends with a plurality of rubbing rollers. The displacement device comprises a shaft, and a worm wheel set driven by a motor to actuate the shaft which is linked with a transmission device to enable the massaging mechanism to engage in a linear motion on a machine frame of the massaging machine. As the body of a person comes in contact with the rubbing rollers, the massaging mechanism is securely located in place, thanks to the self-locking action of a worm wheel set of the displacement device.