An optical system driving apparatus including a holder 2 supporting an objective lens 1, resilient supporting members 29a, 29b for supporting the holder movably in a focusing direction Z perpendicular to a record medium, and focusing coils 4a, 4b secured to the holder 2 by means of viscoelastic members 3a and 3b. The focusing coils 4a, 4b and a viscoelastic members 3a, 3b serve as a dynamic damper so that undesired resonance can be effectively suppressed without narrowing a control frequency range.