In inertial confinement fusion (ICF) facilities, a high precision laser alignment apparatus is usually used to focus the laser beams on target with high accuracy. To satisfy the beam adjustment requirements of the SG-III laser facility, one laser alignment apparatus with motorized mirrors is designed and studied theoretically as well as experimentally. It is shown that the pointing accuracy of the laser beam can be achieved by using two deferent types of the motorized mirrors. The linear drive mechanism proposed by connecting the rotation mechanism through flexible hinges can meet the beam directing requirement with an accuracy of 1 mrad within ±15 mrad range and has been verified on the SG-III laser facility.