Grinding polishing machine is composed of base, chuck, polishing fabric, polishing cover and cover. The motor is fixed on the base, and the taper sleeve for fixing the polishing disc is connected with the motor shaft through screws. The polishing fabric is fixed on the polishing disc by ferrule. After the motor is powered on by the switch on the base, the sample can be polished by hand with pressure on the rotating polishing disc. The polishing liquid added in the polishing process can flow into the square plate placed beside the polishing machine through the drainage pipe of the plastic plate fixed on the base. The polishing cover and cover can prevent dust and other foreign matters from falling on the polished fabric when the machine is not in use, thus affecting the use effect.