A method and apparatus for damping vibration in a flexible cable for use in a magnetic disk drive apparatus. The vibration damping mitigates resonant oscillation of the flexible cable which would otherwise cause tracking errors by forcing the actuator of the away from the desired data track on a magnetic disk. A layer vibration damping material and one or more electrical leads are enclosed within a surrounding electrical insulator, the damping material being completely enclosed, while the leads have selected portions exposed to allow electrical connection devices.