A linear oscillating actuator gives a smooth reciprocatory movement with a minimum of incidental vibrations or stresses. The actuator includes an oscillator carrying a permanent magnet as well as an output shaft which is adapted to be connected to drive a load, and a stator assembly carrying an electromagnet. The electromagnet generates a magnetic field which interacts with the permanent magnet to reciprocate the oscillator relative to the stator assembly in a linear path. A spring link is provided to resiliently support the oscillator to the stator assembly with a gap distance left therebetween for allowing the oscillator to reciprocate in the linear path. The spring link is configured to deform resiliently also in a direction other than along the linear path so as to allow the oscillator to move to and away from the stator assembly or to twist relative to the stator assembly. Thus, the spring link can absorb incidental stresses or displacements from which the oscillator may suffer in the directions other than along the linear path, assuring to give a smooth reciprocatory movement to the oscillator with a minimum of fatigue accumulated in the spring link.