A rocking actuator and a laser machining apparatus which can suppress a temperature rise of a permanent magnet in a moving-magnet actuator. Even when a steerable mirror is positioned by rapid and continuous motions, highly reliable machining can be performed without degrading machining throughput or hole position accuracy. A cooling jacket for cooling a casing and heat transfer units brought into contact with a coil and the casing are provided. Heat generated in the coil is introduced to the casing through the heat transfer bypass units. Thus, the temperature rise of the coil is suppressed. Radial grooves are provided in the permanent magnet opposed to the coil so as to prevent an eddy current from appearing therein. Groove depth is made not smaller than skin depth expressed by a function of volume resistivity and permeability of the permanent magnet and a fundamental frequency of a current applied to the coil.