The invention relates to an inertia driving device with asymmetrical double piezoelectric fibers. The inertia driving device comprises an actuator and two mass blocks, wherein the actuator is formed by asymmetrically pasting two piezoelectric fibers onto a metal plate which is bent at a certain radian in advance, the two mass blocks are respectively connected with two ends of the metal plate, the piezoelectric fibers are contracted and deformed under an effect of an alternating voltage so that bending moment is generated on a surface of the metal plate, the mass block at a lower part has effects of stabilizing and supporting, and the mass block at an upper part generates an inertia force during the moving process. Under excitation of an electrical signal, the piezoelectric fiber at a left side is contracted and deformed, the piezoelectric fiber at a right side is stretched and deformed, the mass block at the upper part is driven by the metal plate to swing leftwards, a right inertia impact force is generated, the whole device moves rightwards, the input electrical signal is changed, the metal plate is recovered, the mass block at the upper part moves rightwards to complete a motion period. The inertia driving device has the advantages of simple structure, high device reliability, good mechanism controllability and the like and is easy to implement, and an excitation signal is easy to generate and control.