A high-precision angle positioning device, comprising: a rotary disk unit a non-deformable laser-speckles image-acquiring unit, being used for emitting a coherent light to a positioning surface of the rotary disk unit, so as to acquire a non-deformable laser-speckles image of the positioning surface by receiving a reflected light coming from the positioning surface; an angle calibrating unit, being used for measuring and calibrating a calibrated angle coordinate of the non-deformable laser-speckles image; an angle recognizing and positioning unit, being coupled to the non-deformable laser-speckles image-acquiring unit and the angle calibrating unit; and a storage unit, being used for storing the non-deformable laser-speckles image acquired by the non-deformable laser-speckles image-acquiring unit and the calibrated angle coordinate measured by the angle calibrating unit; wherein when turning the rotary disk unit a full circle, the non-deformable laser-speckles image-acquiring unit would accordingly acquire N sheets of non-deformable laser-speckles image, and the angle calibrating unit would simultaneously measure N numbers of calibrated angle coordinate for the N sheets of non-deformable laser-speckles image; therefore, the angle recognizing and positioning is able to define N sheets of coordinated non-deformable laser-speckles image and N numbers of coordinated angle according to the N calibrated angle coordinates and the N non-deformable laser-speckles images, and then the N coordinated non-deformable laser-speckles images and the N coordinated angles are stored in the storage unit; wherein when turning the rotary disk unit by an arbitrary angle, the non-deformable laser-speckles image-acquiring unit would accordingly acquire an immediate non-deformable laser-speckles image, and the angle recognizing and positioning unit would find an i-th coordinated non-deformable laser-speckles image having the largest overlapping area with the immediate non-deformable laser-speckles image through image comparison between the immediate non-deformable laser-speckles image and the N coordinated non-deformable laser-speckles images in the storage unit, and then calculates an immediate image plane displacement between the immediate non-deformable laser-speckles image and the i-th coordinated non-deformable laser-speckles image, so as to calculate an immediate sub-coordinated angle of the immediate non-deformable laser-speckles image; wherein an immediate angle coordinate for the immediate non-deformable laser-speckles image can be calculated through an i-th coordinated angle of the i-th coordinated non-deformable laser-speckles image and the immediate sub-coordinated angle. a rotary disk unit a non-deformable laser-speckles image-acquiring unit, being used for emitting a coherent light to a positioning surface of the rotary disk unit, so as to acquire a non-deformable laser-speckles image of the positioning surface by receiving a reflected light coming from the positioning surface; an angle calibrating unit, being used for measuring and calibrating a calibrated angle coordinate of the non-deformable laser-speckles image; an angle recognizing and positioning unit, being coupled to the non-deformable laser-speckles image-acquiring unit and the angle calibrating unit; and a storage unit, being used for storing the non-deformable laser-speckles image acquired by the non-deformable laser-speckles image-acquiring unit and the calibrated angle coordinate measured by the angle calibrating unit; wherein when turning the rotary disk unit a full circle, the non-deformable laser-speckles image-acquiring unit would accordingly acquire N sheets of non-deformable laser-speckles image, and the angle calibrating unit would simultaneously measure N numbers of calibrated angle coordinate for the N sheets of non-deformable laser-speckles image; therefore, the angle recognizing and positioning is able to define N sheets of coordinated non-deformable laser-speckles image and N numbers of coordinated angle according to the N calibrated angle coordinates and the N non-deformable laser-speckles images, and then the N coordinated non-deformable laser-speckles images and the N coordinated angles are stored in the storage unit; wherein when turning the rotary disk unit by an arbitrary angle, the non-deformable laser-speckles image-acquiring unit would accordingly acquire an immediate non-deformable laser-speckles image, and the angle recognizing and positioning unit would find an i-th coordinated non-deformable laser-speckles image having the largest overlapping area with the immediate non-deformable laser-speckles image through image comparison between the immediate non-deformable laser-speckles image and the N coordinated non-deformable laser-speckles images in the storage unit, and then calculates an immediate image plane displacement between the immediate non-deformable laser-speckles image and the i-th coordinated non-deformable laser-speckles image, so as to calculate an immediate sub-coordinated angle of the immediate non-deformable laser-speckles image; wherein an immediate angle coordinate for the immediate non-deformable laser-speckles image can be calculated through an i-th coordinated angle of the i-th coordinated non-deformable laser-speckles image and the immediate sub-coordinated angle.