Provided are a slanted-slot type precise piezoelectric stick-slip linear motor and a driving method thereof. The problem that for a current piezoelectric stick-slip linear motor, due to the fact that comprehensive regulation of friction force is difficult, the mechanical output characteristic is limited is solved. The motor is composed of a base, a pre-pressure adjustment mechanism, a slanted-slot type stator and a slanted-slot type rotor, the stator adopts a symmetric flexible hinge structure to produce displacement amplification, due to the fact that rigidity distribution of slanted slots and a semicircular drive foot in the axial direction is nonuniform, lateral displacement is produced, friction drive force is increased, and frictional resistance is reduced; meanwhile, a friction regulation wave is compositely overlaid in a sawtooth drive wave in the rapid deformation stage of the stator, the frictional resistance between the staror and the rotor in the rapid deformation stage is reduced, comprehensive regulation of the friction force is achieved, and the mechanical output characteristic of the piezoelectric stick-slip linear motor is significantly improved. The slanted-slot type precise piezoelectric stick-slip linear motor has the advantages of being simple in structure, high in precision, large in stroke and the like, and an excellent application prospect in the micro-nano precision driving and positioning fields such as aerospace, optical precision instruments and semiconductor processing is achieved.